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Finding the Fourth Proportional to 75,308.68, 112,934.22 and 22,702.60

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Solution

The fourth proportional to 75,308.68, 112,934.22 and 22,702.60 is: 34,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.68 : 112,934.22 = 22,702.60 : x
  2. Step 2: Convert to fraction form
    75,308.68/112,934.22 = 22,702.60/x
  3. Step 3: Cross multiply
    75,308.68x = 112,934.22 × 22,702.60
  4. Step 4: Simplify right side
    75,308.68x = 2,563,900,422.97
  5. Step 5: Solve for x
    x = 2,563,900,422.97/75,308.68
  6. Step 6: Final answer
    x = 34,045.22

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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.