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Finding the Fourth Proportional to 107,642.52, 161,463.24 and 45,313.02

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Solution

The fourth proportional to 107,642.52, 161,463.24 and 45,313.02 is: 67,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,642.52 : 161,463.24 = 45,313.02 : x
  2. Step 2: Convert to fraction form
    107,642.52/161,463.24 = 45,313.02/x
  3. Step 3: Cross multiply
    107,642.52x = 161,463.24 × 45,313.02
  4. Step 4: Simplify right side
    107,642.52x = 7,316,387,023.38
  5. Step 5: Solve for x
    x = 7,316,387,023.38/107,642.52
  6. Step 6: Final answer
    x = 67,969.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.