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Finding the Fourth Proportional to 107,082.90, 160,511.31 and 35,938.08

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Solution

The fourth proportional to 107,082.90, 160,511.31 and 35,938.08 is: 53,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082.90 : 160,511.31 = 35,938.08 : x
  2. Step 2: Convert to fraction form
    107,082.90/160,511.31 = 35,938.08/x
  3. Step 3: Cross multiply
    107,082.90x = 160,511.31 × 35,938.08
  4. Step 4: Simplify right side
    107,082.90x = 5,768,468,299.68
  5. Step 5: Solve for x
    x = 5,768,468,299.68/107,082.90
  6. Step 6: Final answer
    x = 53,869.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.