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Finding the Fourth Proportional to 38,432.69, 53,037.11 and 21,665.69

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Solution

The fourth proportional to 38,432.69, 53,037.11 and 21,665.69 is: 29,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432.69 : 53,037.11 = 21,665.69 : x
  2. Step 2: Convert to fraction form
    38,432.69/53,037.11 = 21,665.69/x
  3. Step 3: Cross multiply
    38,432.69x = 53,037.11 × 21,665.69
  4. Step 4: Simplify right side
    38,432.69x = 1,149,085,583.76
  5. Step 5: Solve for x
    x = 1,149,085,583.76/38,432.69
  6. Step 6: Final answer
    x = 29,898.65

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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.