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Finding the Fourth Proportional to 32,002.31, 48,027.96 and 14,484.44

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Solution

The fourth proportional to 32,002.31, 48,027.96 and 14,484.44 is: 21,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.31 : 48,027.96 = 14,484.44 : x
  2. Step 2: Convert to fraction form
    32,002.31/48,027.96 = 14,484.44/x
  3. Step 3: Cross multiply
    32,002.31x = 48,027.96 × 14,484.44
  4. Step 4: Simplify right side
    32,002.31x = 695,657,864.80
  5. Step 5: Solve for x
    x = 695,657,864.80/32,002.31
  6. Step 6: Final answer
    x = 21,737.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.