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Finding the Fourth Proportional to 98,584.40, 147,898.20 and 32,013.20

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Solution

The fourth proportional to 98,584.40, 147,898.20 and 32,013.20 is: 48,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,584.40 : 147,898.20 = 32,013.20 : x
  2. Step 2: Convert to fraction form
    98,584.40/147,898.20 = 32,013.20/x
  3. Step 3: Cross multiply
    98,584.40x = 147,898.20 × 32,013.20
  4. Step 4: Simplify right side
    98,584.40x = 4,734,694,656.24
  5. Step 5: Solve for x
    x = 4,734,694,656.24/98,584.40
  6. Step 6: Final answer
    x = 48,026.81

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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.