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Finding the Fourth Proportional to 69,498, 95,906.70 and 37,666.08

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Solution

The fourth proportional to 69,498, 95,906.70 and 37,666.08 is: 51,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 95,906.70 = 37,666.08 : x
  2. Step 2: Convert to fraction form
    69,498/95,906.70 = 37,666.08/x
  3. Step 3: Cross multiply
    69,498x = 95,906.70 × 37,666.08
  4. Step 4: Simplify right side
    69,498x = 3,612,429,434.74
  5. Step 5: Solve for x
    x = 3,612,429,434.74/69,498
  6. Step 6: Final answer
    x = 51,978.90

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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.