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Finding the Fourth Proportional to 125,134.89, 187,702.35 and 31,640.64

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Solution

The fourth proportional to 125,134.89, 187,702.35 and 31,640.64 is: 47,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,134.89 : 187,702.35 = 31,640.64 : x
  2. Step 2: Convert to fraction form
    125,134.89/187,702.35 = 31,640.64/x
  3. Step 3: Cross multiply
    125,134.89x = 187,702.35 × 31,640.64
  4. Step 4: Simplify right side
    125,134.89x = 5,939,022,483.50
  5. Step 5: Solve for x
    x = 5,939,022,483.50/125,134.89
  6. Step 6: Final answer
    x = 47,460.96

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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.