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Finding the Fourth Proportional to 94,114.92, 141,134.70 and 41,487

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Solution

The fourth proportional to 94,114.92, 141,134.70 and 41,487 is: 62,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,114.92 : 141,134.70 = 41,487 : x
  2. Step 2: Convert to fraction form
    94,114.92/141,134.70 = 41,487/x
  3. Step 3: Cross multiply
    94,114.92x = 141,134.70 × 41,487
  4. Step 4: Simplify right side
    94,114.92x = 5,855,255,298.90
  5. Step 5: Solve for x
    x = 5,855,255,298.90/94,114.92
  6. Step 6: Final answer
    x = 62,213.89

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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.