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Finding the Fourth Proportional to 60,134.43, 90,103.14 and 32,024.64

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Solution

The fourth proportional to 60,134.43, 90,103.14 and 32,024.64 is: 47,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,134.43 : 90,103.14 = 32,024.64 : x
  2. Step 2: Convert to fraction form
    60,134.43/90,103.14 = 32,024.64/x
  3. Step 3: Cross multiply
    60,134.43x = 90,103.14 × 32,024.64
  4. Step 4: Simplify right side
    60,134.43x = 2,885,520,621.37
  5. Step 5: Solve for x
    x = 2,885,520,621.37/60,134.43
  6. Step 6: Final answer
    x = 47,984.50

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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.