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Finding the Fourth Proportional to 117,652.54, 176,506.49 and 38,766.76

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Solution

The fourth proportional to 117,652.54, 176,506.49 and 38,766.76 is: 58,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,652.54 : 176,506.49 = 38,766.76 : x
  2. Step 2: Convert to fraction form
    117,652.54/176,506.49 = 38,766.76/x
  3. Step 3: Cross multiply
    117,652.54x = 176,506.49 × 38,766.76
  4. Step 4: Simplify right side
    117,652.54x = 6,842,584,736.27
  5. Step 5: Solve for x
    x = 6,842,584,736.27/117,652.54
  6. Step 6: Final answer
    x = 58,159.26

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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.