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Finding the Fourth Proportional to 102,507.69, 153,760.62 and 32,387.01

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Solution

The fourth proportional to 102,507.69, 153,760.62 and 32,387.01 is: 48,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.69 : 153,760.62 = 32,387.01 : x
  2. Step 2: Convert to fraction form
    102,507.69/153,760.62 = 32,387.01/x
  3. Step 3: Cross multiply
    102,507.69x = 153,760.62 × 32,387.01
  4. Step 4: Simplify right side
    102,507.69x = 4,979,846,737.55
  5. Step 5: Solve for x
    x = 4,979,846,737.55/102,507.69
  6. Step 6: Final answer
    x = 48,580.23

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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.