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Finding the Fourth Proportional to 77,318.52, 106,697.74 and 45,489.46

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Solution

The fourth proportional to 77,318.52, 106,697.74 and 45,489.46 is: 62,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,318.52 : 106,697.74 = 45,489.46 : x
  2. Step 2: Convert to fraction form
    77,318.52/106,697.74 = 45,489.46/x
  3. Step 3: Cross multiply
    77,318.52x = 106,697.74 × 45,489.46
  4. Step 4: Simplify right side
    77,318.52x = 4,853,622,575.82
  5. Step 5: Solve for x
    x = 4,853,622,575.82/77,318.52
  6. Step 6: Final answer
    x = 62,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.