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Finding the Fourth Proportional to 34,316.68, 51,475.56 and 13,540

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Solution

The fourth proportional to 34,316.68, 51,475.56 and 13,540 is: 20,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316.68 : 51,475.56 = 13,540 : x
  2. Step 2: Convert to fraction form
    34,316.68/51,475.56 = 13,540/x
  3. Step 3: Cross multiply
    34,316.68x = 51,475.56 × 13,540
  4. Step 4: Simplify right side
    34,316.68x = 696,979,082.40
  5. Step 5: Solve for x
    x = 696,979,082.40/34,316.68
  6. Step 6: Final answer
    x = 20,310.21

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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.