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Finding the Fourth Proportional to 98,575.26, 147,849.03 and 32,016.30

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Solution

The fourth proportional to 98,575.26, 147,849.03 and 32,016.30 is: 48,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,575.26 : 147,849.03 = 32,016.30 : x
  2. Step 2: Convert to fraction form
    98,575.26/147,849.03 = 32,016.30/x
  3. Step 3: Cross multiply
    98,575.26x = 147,849.03 × 32,016.30
  4. Step 4: Simplify right side
    98,575.26x = 4,733,578,899.19
  5. Step 5: Solve for x
    x = 4,733,578,899.19/98,575.26
  6. Step 6: Final answer
    x = 48,019.95

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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.