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Finding the Fourth Proportional to 57,460.86, 86,272.02 and 29,401.04

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Solution

The fourth proportional to 57,460.86, 86,272.02 and 29,401.04 is: 44,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,460.86 : 86,272.02 = 29,401.04 : x
  2. Step 2: Convert to fraction form
    57,460.86/86,272.02 = 29,401.04/x
  3. Step 3: Cross multiply
    57,460.86x = 86,272.02 × 29,401.04
  4. Step 4: Simplify right side
    57,460.86x = 2,536,486,679.54
  5. Step 5: Solve for x
    x = 2,536,486,679.54/57,460.86
  6. Step 6: Final answer
    x = 44,142.86

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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.