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Finding the Fourth Proportional to 32,031, 48,046.50 and 11,255.16

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Solution

The fourth proportional to 32,031, 48,046.50 and 11,255.16 is: 16,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 48,046.50 = 11,255.16 : x
  2. Step 2: Convert to fraction form
    32,031/48,046.50 = 11,255.16/x
  3. Step 3: Cross multiply
    32,031x = 48,046.50 × 11,255.16
  4. Step 4: Simplify right side
    32,031x = 540,771,044.94
  5. Step 5: Solve for x
    x = 540,771,044.94/32,031
  6. Step 6: Final answer
    x = 16,882.74

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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.