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Finding the Fourth Proportional to 29,874, 44,819.12 and 9,097.52

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Solution

The fourth proportional to 29,874, 44,819.12 and 9,097.52 is: 13,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874 : 44,819.12 = 9,097.52 : x
  2. Step 2: Convert to fraction form
    29,874/44,819.12 = 9,097.52/x
  3. Step 3: Cross multiply
    29,874x = 44,819.12 × 9,097.52
  4. Step 4: Simplify right side
    29,874x = 407,742,840.58
  5. Step 5: Solve for x
    x = 407,742,840.58/29,874
  6. Step 6: Final answer
    x = 13,648.75

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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.