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Finding the Fourth Proportional to 32,508.78, 48,763.17 and 11,443.86

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Solution

The fourth proportional to 32,508.78, 48,763.17 and 11,443.86 is: 17,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.78 : 48,763.17 = 11,443.86 : x
  2. Step 2: Convert to fraction form
    32,508.78/48,763.17 = 11,443.86/x
  3. Step 3: Cross multiply
    32,508.78x = 48,763.17 × 11,443.86
  4. Step 4: Simplify right side
    32,508.78x = 558,038,890.64
  5. Step 5: Solve for x
    x = 558,038,890.64/32,508.78
  6. Step 6: Final answer
    x = 17,165.79

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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.