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Finding the Fourth Proportional to 98,842.92, 148,278.87 and 31,352.44

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Solution

The fourth proportional to 98,842.92, 148,278.87 and 31,352.44 is: 47,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,842.92 : 148,278.87 = 31,352.44 : x
  2. Step 2: Convert to fraction form
    98,842.92/148,278.87 = 31,352.44/x
  3. Step 3: Cross multiply
    98,842.92x = 148,278.87 × 31,352.44
  4. Step 4: Simplify right side
    98,842.92x = 4,648,904,374.94
  5. Step 5: Solve for x
    x = 4,648,904,374.94/98,842.92
  6. Step 6: Final answer
    x = 47,033.26

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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.