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Finding the Fourth Proportional to 75,963.60, 113,951.88 and 19,811.16

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Solution

The fourth proportional to 75,963.60, 113,951.88 and 19,811.16 is: 29,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,963.60 : 113,951.88 = 19,811.16 : x
  2. Step 2: Convert to fraction form
    75,963.60/113,951.88 = 19,811.16/x
  3. Step 3: Cross multiply
    75,963.60x = 113,951.88 × 19,811.16
  4. Step 4: Simplify right side
    75,963.60x = 2,257,518,926.98
  5. Step 5: Solve for x
    x = 2,257,518,926.98/75,963.60
  6. Step 6: Final answer
    x = 29,718.43

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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.