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Finding the Fourth Proportional to 98,063.79, 147,063.48 and 31,488.13

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Solution

The fourth proportional to 98,063.79, 147,063.48 and 31,488.13 is: 47,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,063.79 : 147,063.48 = 31,488.13 : x
  2. Step 2: Convert to fraction form
    98,063.79/147,063.48 = 31,488.13/x
  3. Step 3: Cross multiply
    98,063.79x = 147,063.48 × 31,488.13
  4. Step 4: Simplify right side
    98,063.79x = 4,630,753,976.49
  5. Step 5: Solve for x
    x = 4,630,753,976.49/98,063.79
  6. Step 6: Final answer
    x = 47,221.85

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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.