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Finding the Fourth Proportional to 83,047.60, 124,547.10 and 29,733.40

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Solution

The fourth proportional to 83,047.60, 124,547.10 and 29,733.40 is: 44,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.60 : 124,547.10 = 29,733.40 : x
  2. Step 2: Convert to fraction form
    83,047.60/124,547.10 = 29,733.40/x
  3. Step 3: Cross multiply
    83,047.60x = 124,547.10 × 29,733.40
  4. Step 4: Simplify right side
    83,047.60x = 3,703,208,743.14
  5. Step 5: Solve for x
    x = 3,703,208,743.14/83,047.60
  6. Step 6: Final answer
    x = 44,591.40

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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.