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Finding the Fourth Proportional to 77,842.71, 116,780.49 and 25,248.06

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Solution

The fourth proportional to 77,842.71, 116,780.49 and 25,248.06 is: 37,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.71 : 116,780.49 = 25,248.06 : x
  2. Step 2: Convert to fraction form
    77,842.71/116,780.49 = 25,248.06/x
  3. Step 3: Cross multiply
    77,842.71x = 116,780.49 × 25,248.06
  4. Step 4: Simplify right side
    77,842.71x = 2,948,480,818.35
  5. Step 5: Solve for x
    x = 2,948,480,818.35/77,842.71
  6. Step 6: Final answer
    x = 37,877.42

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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.