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Finding the Fourth Proportional to 102,494.40, 153,789.05 and 39,293.38

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Solution

The fourth proportional to 102,494.40, 153,789.05 and 39,293.38 is: 58,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,494.40 : 153,789.05 = 39,293.38 : x
  2. Step 2: Convert to fraction form
    102,494.40/153,789.05 = 39,293.38/x
  3. Step 3: Cross multiply
    102,494.40x = 153,789.05 × 39,293.38
  4. Step 4: Simplify right side
    102,494.40x = 6,042,891,385.02
  5. Step 5: Solve for x
    x = 6,042,891,385.02/102,494.40
  6. Step 6: Final answer
    x = 58,958.26

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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.