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Finding the Fourth Proportional to 75,085.80, 112,434.30 and 59,404.20

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Solution

The fourth proportional to 75,085.80, 112,434.30 and 59,404.20 is: 88,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085.80 : 112,434.30 = 59,404.20 : x
  2. Step 2: Convert to fraction form
    75,085.80/112,434.30 = 59,404.20/x
  3. Step 3: Cross multiply
    75,085.80x = 112,434.30 × 59,404.20
  4. Step 4: Simplify right side
    75,085.80x = 6,679,069,644.06
  5. Step 5: Solve for x
    x = 6,679,069,644.06/75,085.80
  6. Step 6: Final answer
    x = 88,952.50

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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.