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Finding the Fourth Proportional to 73,702.98, 101,713.71 and 41,447.74

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Solution

The fourth proportional to 73,702.98, 101,713.71 and 41,447.74 is: 57,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.98 : 101,713.71 = 41,447.74 : x
  2. Step 2: Convert to fraction form
    73,702.98/101,713.71 = 41,447.74/x
  3. Step 3: Cross multiply
    73,702.98x = 101,713.71 × 41,447.74
  4. Step 4: Simplify right side
    73,702.98x = 4,215,803,199.28
  5. Step 5: Solve for x
    x = 4,215,803,199.28/73,702.98
  6. Step 6: Final answer
    x = 57,199.91

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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.