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Finding the Fourth Proportional to 84,862, 127,351.44 and 29,458

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Solution

The fourth proportional to 84,862, 127,351.44 and 29,458 is: 44,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,862 : 127,351.44 = 29,458 : x
  2. Step 2: Convert to fraction form
    84,862/127,351.44 = 29,458/x
  3. Step 3: Cross multiply
    84,862x = 127,351.44 × 29,458
  4. Step 4: Simplify right side
    84,862x = 3,751,518,719.52
  5. Step 5: Solve for x
    x = 3,751,518,719.52/84,862
  6. Step 6: Final answer
    x = 44,207.29

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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.