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Finding the Fourth Proportional to 75,296.53, 112,951.88 and 53,748.30

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Solution

The fourth proportional to 75,296.53, 112,951.88 and 53,748.30 is: 80,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.53 : 112,951.88 = 53,748.30 : x
  2. Step 2: Convert to fraction form
    75,296.53/112,951.88 = 53,748.30/x
  3. Step 3: Cross multiply
    75,296.53x = 112,951.88 × 53,748.30
  4. Step 4: Simplify right side
    75,296.53x = 6,070,971,531.80
  5. Step 5: Solve for x
    x = 6,070,971,531.80/75,296.53
  6. Step 6: Final answer
    x = 80,627.51

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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.