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Finding the Fourth Proportional to 75,702.56, 113,487.84 and 31,301.60

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Solution

The fourth proportional to 75,702.56, 113,487.84 and 31,301.60 is: 46,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702.56 : 113,487.84 = 31,301.60 : x
  2. Step 2: Convert to fraction form
    75,702.56/113,487.84 = 31,301.60/x
  3. Step 3: Cross multiply
    75,702.56x = 113,487.84 × 31,301.60
  4. Step 4: Simplify right side
    75,702.56x = 3,552,350,972.54
  5. Step 5: Solve for x
    x = 3,552,350,972.54/75,702.56
  6. Step 6: Final answer
    x = 46,925.11

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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.