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Finding the Fourth Proportional to 32,447.50, 48,686.23 and 12,731.29

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Solution

The fourth proportional to 32,447.50, 48,686.23 and 12,731.29 is: 19,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.50 : 48,686.23 = 12,731.29 : x
  2. Step 2: Convert to fraction form
    32,447.50/48,686.23 = 12,731.29/x
  3. Step 3: Cross multiply
    32,447.50x = 48,686.23 × 12,731.29
  4. Step 4: Simplify right side
    32,447.50x = 619,838,407.34
  5. Step 5: Solve for x
    x = 619,838,407.34/32,447.50
  6. Step 6: Final answer
    x = 19,102.81

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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.