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Finding the Fourth Proportional to 117,531.54, 176,302.98 and 38,644.02

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Solution

The fourth proportional to 117,531.54, 176,302.98 and 38,644.02 is: 57,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531.54 : 176,302.98 = 38,644.02 : x
  2. Step 2: Convert to fraction form
    117,531.54/176,302.98 = 38,644.02/x
  3. Step 3: Cross multiply
    117,531.54x = 176,302.98 × 38,644.02
  4. Step 4: Simplify right side
    117,531.54x = 6,813,055,885.18
  5. Step 5: Solve for x
    x = 6,813,055,885.18/117,531.54
  6. Step 6: Final answer
    x = 57,967.89

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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.