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Finding the Fourth Proportional to 34,158.25, 51,233.53 and 9,200.13

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Solution

The fourth proportional to 34,158.25, 51,233.53 and 9,200.13 is: 13,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158.25 : 51,233.53 = 9,200.13 : x
  2. Step 2: Convert to fraction form
    34,158.25/51,233.53 = 9,200.13/x
  3. Step 3: Cross multiply
    34,158.25x = 51,233.53 × 9,200.13
  4. Step 4: Simplify right side
    34,158.25x = 471,354,921.23
  5. Step 5: Solve for x
    x = 471,354,921.23/34,158.25
  6. Step 6: Final answer
    x = 13,799.15

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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.