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Finding the Fourth Proportional to 98,001, 147,008.28 and 38,836.68

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Solution

The fourth proportional to 98,001, 147,008.28 and 38,836.68 is: 58,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,001 : 147,008.28 = 38,836.68 : x
  2. Step 2: Convert to fraction form
    98,001/147,008.28 = 38,836.68/x
  3. Step 3: Cross multiply
    98,001x = 147,008.28 × 38,836.68
  4. Step 4: Simplify right side
    98,001x = 5,709,313,527.71
  5. Step 5: Solve for x
    x = 5,709,313,527.71/98,001
  6. Step 6: Final answer
    x = 58,257.71

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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.