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Finding the Fourth Proportional to 101,742.26, 152,635.28 and 34,281

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Solution

The fourth proportional to 101,742.26, 152,635.28 and 34,281 is: 51,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.26 : 152,635.28 = 34,281 : x
  2. Step 2: Convert to fraction form
    101,742.26/152,635.28 = 34,281/x
  3. Step 3: Cross multiply
    101,742.26x = 152,635.28 × 34,281
  4. Step 4: Simplify right side
    101,742.26x = 5,232,489,862.28
  5. Step 5: Solve for x
    x = 5,232,489,862.28/101,742.26
  6. Step 6: Final answer
    x = 51,428.88

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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.