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Finding the Fourth Proportional to 57,193.62, 78,925.17 and 31,702.35

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Solution

The fourth proportional to 57,193.62, 78,925.17 and 31,702.35 is: 43,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.62 : 78,925.17 = 31,702.35 : x
  2. Step 2: Convert to fraction form
    57,193.62/78,925.17 = 31,702.35/x
  3. Step 3: Cross multiply
    57,193.62x = 78,925.17 × 31,702.35
  4. Step 4: Simplify right side
    57,193.62x = 2,502,113,363.15
  5. Step 5: Solve for x
    x = 2,502,113,363.15/57,193.62
  6. Step 6: Final answer
    x = 43,748.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.