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Finding the Fourth Proportional to 34,854.10, 52,245.17 and 13,785.59

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Solution

The fourth proportional to 34,854.10, 52,245.17 and 13,785.59 is: 20,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854.10 : 52,245.17 = 13,785.59 : x
  2. Step 2: Convert to fraction form
    34,854.10/52,245.17 = 13,785.59/x
  3. Step 3: Cross multiply
    34,854.10x = 52,245.17 × 13,785.59
  4. Step 4: Simplify right side
    34,854.10x = 720,230,606.48
  5. Step 5: Solve for x
    x = 720,230,606.48/34,854.10
  6. Step 6: Final answer
    x = 20,664.16

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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.