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Finding the Fourth Proportional to 75,294.53, 112,719.88 and 65,952.80

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Solution

The fourth proportional to 75,294.53, 112,719.88 and 65,952.80 is: 98,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.53 : 112,719.88 = 65,952.80 : x
  2. Step 2: Convert to fraction form
    75,294.53/112,719.88 = 65,952.80/x
  3. Step 3: Cross multiply
    75,294.53x = 112,719.88 × 65,952.80
  4. Step 4: Simplify right side
    75,294.53x = 7,434,191,701.66
  5. Step 5: Solve for x
    x = 7,434,191,701.66/75,294.53
  6. Step 6: Final answer
    x = 98,734.82

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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.