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Finding the Fourth Proportional to 32,472.90, 48,697.20 and 11,404.80

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Solution

The fourth proportional to 32,472.90, 48,697.20 and 11,404.80 is: 17,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.90 : 48,697.20 = 11,404.80 : x
  2. Step 2: Convert to fraction form
    32,472.90/48,697.20 = 11,404.80/x
  3. Step 3: Cross multiply
    32,472.90x = 48,697.20 × 11,404.80
  4. Step 4: Simplify right side
    32,472.90x = 555,381,826.56
  5. Step 5: Solve for x
    x = 555,381,826.56/32,472.90
  6. Step 6: Final answer
    x = 17,102.93

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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.