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Finding the Fourth Proportional to 100,589.92, 150,882.14 and 46,547.33

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Solution

The fourth proportional to 100,589.92, 150,882.14 and 46,547.33 is: 69,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.92 : 150,882.14 = 46,547.33 : x
  2. Step 2: Convert to fraction form
    100,589.92/150,882.14 = 46,547.33/x
  3. Step 3: Cross multiply
    100,589.92x = 150,882.14 × 46,547.33
  4. Step 4: Simplify right side
    100,589.92x = 7,023,160,123.64
  5. Step 5: Solve for x
    x = 7,023,160,123.64/100,589.92
  6. Step 6: Final answer
    x = 69,819.72

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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.