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Finding the Fourth Proportional to 98,575.38, 147,848.49 and 32,017.68

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Solution

The fourth proportional to 98,575.38, 147,848.49 and 32,017.68 is: 48,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,575.38 : 147,848.49 = 32,017.68 : x
  2. Step 2: Convert to fraction form
    98,575.38/147,848.49 = 32,017.68/x
  3. Step 3: Cross multiply
    98,575.38x = 147,848.49 × 32,017.68
  4. Step 4: Simplify right side
    98,575.38x = 4,733,765,641.30
  5. Step 5: Solve for x
    x = 4,733,765,641.30/98,575.38
  6. Step 6: Final answer
    x = 48,021.78

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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.