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Finding the Fourth Proportional to 107,142.50, 160,745.87 and 32,265.08

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Solution

The fourth proportional to 107,142.50, 160,745.87 and 32,265.08 is: 48,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.50 : 160,745.87 = 32,265.08 : x
  2. Step 2: Convert to fraction form
    107,142.50/160,745.87 = 32,265.08/x
  3. Step 3: Cross multiply
    107,142.50x = 160,745.87 × 32,265.08
  4. Step 4: Simplify right side
    107,142.50x = 5,186,478,957.65
  5. Step 5: Solve for x
    x = 5,186,478,957.65/107,142.50
  6. Step 6: Final answer
    x = 48,407.30

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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.