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Finding the Fourth Proportional to 32,635.10, 48,876.74 and 31,737.18

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Solution

The fourth proportional to 32,635.10, 48,876.74 and 31,737.18 is: 47,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,635.10 : 48,876.74 = 31,737.18 : x
  2. Step 2: Convert to fraction form
    32,635.10/48,876.74 = 31,737.18/x
  3. Step 3: Cross multiply
    32,635.10x = 48,876.74 × 31,737.18
  4. Step 4: Simplify right side
    32,635.10x = 1,551,210,157.82
  5. Step 5: Solve for x
    x = 1,551,210,157.82/32,635.10
  6. Step 6: Final answer
    x = 47,531.96

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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.