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Finding the Fourth Proportional to 89,893.60, 124,077.84 and 52,180

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Solution

The fourth proportional to 89,893.60, 124,077.84 and 52,180 is: 72,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,893.60 : 124,077.84 = 52,180 : x
  2. Step 2: Convert to fraction form
    89,893.60/124,077.84 = 52,180/x
  3. Step 3: Cross multiply
    89,893.60x = 124,077.84 × 52,180
  4. Step 4: Simplify right side
    89,893.60x = 6,474,381,691.20
  5. Step 5: Solve for x
    x = 6,474,381,691.20/89,893.60
  6. Step 6: Final answer
    x = 72,022.72

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Why These Related Problems?

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