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Finding the Fourth Proportional to 32,108.88, 48,142.81 and 15,435.74

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Solution

The fourth proportional to 32,108.88, 48,142.81 and 15,435.74 is: 23,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.88 : 48,142.81 = 15,435.74 : x
  2. Step 2: Convert to fraction form
    32,108.88/48,142.81 = 15,435.74/x
  3. Step 3: Cross multiply
    32,108.88x = 48,142.81 × 15,435.74
  4. Step 4: Simplify right side
    32,108.88x = 743,119,580.14
  5. Step 5: Solve for x
    x = 743,119,580.14/32,108.88
  6. Step 6: Final answer
    x = 23,143.74

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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.