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Finding the Fourth Proportional to 32,344.72, 48,541.44 and 14,826.88

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Solution

The fourth proportional to 32,344.72, 48,541.44 and 14,826.88 is: 22,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344.72 : 48,541.44 = 14,826.88 : x
  2. Step 2: Convert to fraction form
    32,344.72/48,541.44 = 14,826.88/x
  3. Step 3: Cross multiply
    32,344.72x = 48,541.44 × 14,826.88
  4. Step 4: Simplify right side
    32,344.72x = 719,718,105.91
  5. Step 5: Solve for x
    x = 719,718,105.91/32,344.72
  6. Step 6: Final answer
    x = 22,251.49

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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.