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Finding the Fourth Proportional to 83,975,820.80, 126,019,718.40 and 38,514,214.40

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Solution

The fourth proportional to 83,975,820.80, 126,019,718.40 and 38,514,214.40 is: 57,796,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,975,820.80 : 126,019,718.40 = 38,514,214.40 : x
  2. Step 2: Convert to fraction form
    83,975,820.80/126,019,718.40 = 38,514,214.40/x
  3. Step 3: Cross multiply
    83,975,820.80x = 126,019,718.40 × 38,514,214.40
  4. Step 4: Simplify right side
    83,975,820.80x = 4,853,550,453,085,225
  5. Step 5: Solve for x
    x = 4,853,550,453,085,225/83,975,820.80
  6. Step 6: Final answer
    x = 57,796,999.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.