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Finding the Fourth Proportional to 83,089.91, 114,663.48 and 45,364.16

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Solution

The fourth proportional to 83,089.91, 114,663.48 and 45,364.16 is: 62,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.91 : 114,663.48 = 45,364.16 : x
  2. Step 2: Convert to fraction form
    83,089.91/114,663.48 = 45,364.16/x
  3. Step 3: Cross multiply
    83,089.91x = 114,663.48 × 45,364.16
  4. Step 4: Simplify right side
    83,089.91x = 5,201,612,452.88
  5. Step 5: Solve for x
    x = 5,201,612,452.88/83,089.91
  6. Step 6: Final answer
    x = 62,602.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.