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Finding the Fourth Proportional to 107,941.52, 161,773.52 and 51,697.28

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Solution

The fourth proportional to 107,941.52, 161,773.52 and 51,697.28 is: 77,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,941.52 : 161,773.52 = 51,697.28 : x
  2. Step 2: Convert to fraction form
    107,941.52/161,773.52 = 51,697.28/x
  3. Step 3: Cross multiply
    107,941.52x = 161,773.52 × 51,697.28
  4. Step 4: Simplify right side
    107,941.52x = 8,363,250,960.03
  5. Step 5: Solve for x
    x = 8,363,250,960.03/107,941.52
  6. Step 6: Final answer
    x = 77,479.46

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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.