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Finding the Fourth Proportional to 73,702.27, 110,534.28 and 21,099.48

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Solution

The fourth proportional to 73,702.27, 110,534.28 and 21,099.48 is: 31,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.27 : 110,534.28 = 21,099.48 : x
  2. Step 2: Convert to fraction form
    73,702.27/110,534.28 = 21,099.48/x
  3. Step 3: Cross multiply
    73,702.27x = 110,534.28 × 21,099.48
  4. Step 4: Simplify right side
    73,702.27x = 2,332,215,830.17
  5. Step 5: Solve for x
    x = 2,332,215,830.17/73,702.27
  6. Step 6: Final answer
    x = 31,643.74

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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.