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Finding the Fourth Proportional to 75,188.98, 103,713.87 and 48,366.46

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Solution

The fourth proportional to 75,188.98, 103,713.87 and 48,366.46 is: 66,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188.98 : 103,713.87 = 48,366.46 : x
  2. Step 2: Convert to fraction form
    75,188.98/103,713.87 = 48,366.46/x
  3. Step 3: Cross multiply
    75,188.98x = 103,713.87 × 48,366.46
  4. Step 4: Simplify right side
    75,188.98x = 5,016,272,744.80
  5. Step 5: Solve for x
    x = 5,016,272,744.80/75,188.98
  6. Step 6: Final answer
    x = 66,715.53

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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.