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Finding the Fourth Proportional to 32,484.38, 48,726.57 and 12,224.95

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Solution

The fourth proportional to 32,484.38, 48,726.57 and 12,224.95 is: 18,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.38 : 48,726.57 = 12,224.95 : x
  2. Step 2: Convert to fraction form
    32,484.38/48,726.57 = 12,224.95/x
  3. Step 3: Cross multiply
    32,484.38x = 48,726.57 × 12,224.95
  4. Step 4: Simplify right side
    32,484.38x = 595,679,881.92
  5. Step 5: Solve for x
    x = 595,679,881.92/32,484.38
  6. Step 6: Final answer
    x = 18,337.43

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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.