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Finding the Fourth Proportional to 38,713.59, 53,447.65 and 24,385.70

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Solution

The fourth proportional to 38,713.59, 53,447.65 and 24,385.70 is: 33,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.59 : 53,447.65 = 24,385.70 : x
  2. Step 2: Convert to fraction form
    38,713.59/53,447.65 = 24,385.70/x
  3. Step 3: Cross multiply
    38,713.59x = 53,447.65 × 24,385.70
  4. Step 4: Simplify right side
    38,713.59x = 1,303,358,397.43
  5. Step 5: Solve for x
    x = 1,303,358,397.43/38,713.59
  6. Step 6: Final answer
    x = 33,666.69

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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.