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Finding the Fourth Proportional to 110,045.74, 165,082.96 and 31,160.65

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Solution

The fourth proportional to 110,045.74, 165,082.96 and 31,160.65 is: 46,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,045.74 : 165,082.96 = 31,160.65 : x
  2. Step 2: Convert to fraction form
    110,045.74/165,082.96 = 31,160.65/x
  3. Step 3: Cross multiply
    110,045.74x = 165,082.96 × 31,160.65
  4. Step 4: Simplify right side
    110,045.74x = 5,144,092,273.30
  5. Step 5: Solve for x
    x = 5,144,092,273.30/110,045.74
  6. Step 6: Final answer
    x = 46,745.04

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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.