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Finding the Fourth Proportional to 83,073.98, 114,626.76 and 47,261.90

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Solution

The fourth proportional to 83,073.98, 114,626.76 and 47,261.90 is: 65,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.98 : 114,626.76 = 47,261.90 : x
  2. Step 2: Convert to fraction form
    83,073.98/114,626.76 = 47,261.90/x
  3. Step 3: Cross multiply
    83,073.98x = 114,626.76 × 47,261.90
  4. Step 4: Simplify right side
    83,073.98x = 5,417,478,468.44
  5. Step 5: Solve for x
    x = 5,417,478,468.44/83,073.98
  6. Step 6: Final answer
    x = 65,212.70

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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.