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Finding the Fourth Proportional to 75,540, 113,312.40 and 22,949.94

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Solution

The fourth proportional to 75,540, 113,312.40 and 22,949.94 is: 34,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,540 : 113,312.40 = 22,949.94 : x
  2. Step 2: Convert to fraction form
    75,540/113,312.40 = 22,949.94/x
  3. Step 3: Cross multiply
    75,540x = 113,312.40 × 22,949.94
  4. Step 4: Simplify right side
    75,540x = 2,600,512,781.26
  5. Step 5: Solve for x
    x = 2,600,512,781.26/75,540
  6. Step 6: Final answer
    x = 34,425.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.