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Finding the Fourth Proportional to 117,788.76, 176,683.14 and 47,717.28

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Solution

The fourth proportional to 117,788.76, 176,683.14 and 47,717.28 is: 71,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,788.76 : 176,683.14 = 47,717.28 : x
  2. Step 2: Convert to fraction form
    117,788.76/176,683.14 = 47,717.28/x
  3. Step 3: Cross multiply
    117,788.76x = 176,683.14 × 47,717.28
  4. Step 4: Simplify right side
    117,788.76x = 8,430,838,862.66
  5. Step 5: Solve for x
    x = 8,430,838,862.66/117,788.76
  6. Step 6: Final answer
    x = 71,575.92

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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.