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Finding the Fourth Proportional to 32,847.34, 45,314.92 and 20,101.13

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Solution

The fourth proportional to 32,847.34, 45,314.92 and 20,101.13 is: 27,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.34 : 45,314.92 = 20,101.13 : x
  2. Step 2: Convert to fraction form
    32,847.34/45,314.92 = 20,101.13/x
  3. Step 3: Cross multiply
    32,847.34x = 45,314.92 × 20,101.13
  4. Step 4: Simplify right side
    32,847.34x = 910,881,097.86
  5. Step 5: Solve for x
    x = 910,881,097.86/32,847.34
  6. Step 6: Final answer
    x = 27,730.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.