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Finding the Fourth Proportional to 32,463.86, 48,695.28 and 16,659.77

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Solution

The fourth proportional to 32,463.86, 48,695.28 and 16,659.77 is: 24,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463.86 : 48,695.28 = 16,659.77 : x
  2. Step 2: Convert to fraction form
    32,463.86/48,695.28 = 16,659.77/x
  3. Step 3: Cross multiply
    32,463.86x = 48,695.28 × 16,659.77
  4. Step 4: Simplify right side
    32,463.86x = 811,252,164.89
  5. Step 5: Solve for x
    x = 811,252,164.89/32,463.86
  6. Step 6: Final answer
    x = 24,989.39

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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.