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Finding the Fourth Proportional to 32,491.88, 48,748.76 and 14,948.50

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Solution

The fourth proportional to 32,491.88, 48,748.76 and 14,948.50 is: 22,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.88 : 48,748.76 = 14,948.50 : x
  2. Step 2: Convert to fraction form
    32,491.88/48,748.76 = 14,948.50/x
  3. Step 3: Cross multiply
    32,491.88x = 48,748.76 × 14,948.50
  4. Step 4: Simplify right side
    32,491.88x = 728,720,838.86
  5. Step 5: Solve for x
    x = 728,720,838.86/32,491.88
  6. Step 6: Final answer
    x = 22,427.78

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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.