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Finding the Fourth Proportional to 32,372.96, 48,507.24 and 25,478.24

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Solution

The fourth proportional to 32,372.96, 48,507.24 and 25,478.24 is: 38,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372.96 : 48,507.24 = 25,478.24 : x
  2. Step 2: Convert to fraction form
    32,372.96/48,507.24 = 25,478.24/x
  3. Step 3: Cross multiply
    32,372.96x = 48,507.24 × 25,478.24
  4. Step 4: Simplify right side
    32,372.96x = 1,235,879,102.46
  5. Step 5: Solve for x
    x = 1,235,879,102.46/32,372.96
  6. Step 6: Final answer
    x = 38,176.28

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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.