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Finding the Fourth Proportional to 32,446.32, 48,439.02 and 31,294.32

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Solution

The fourth proportional to 32,446.32, 48,439.02 and 31,294.32 is: 46,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.32 : 48,439.02 = 31,294.32 : x
  2. Step 2: Convert to fraction form
    32,446.32/48,439.02 = 31,294.32/x
  3. Step 3: Cross multiply
    32,446.32x = 48,439.02 × 31,294.32
  4. Step 4: Simplify right side
    32,446.32x = 1,515,866,192.37
  5. Step 5: Solve for x
    x = 1,515,866,192.37/32,446.32
  6. Step 6: Final answer
    x = 46,719.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.