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Finding the Fourth Proportional to 98,233.97, 147,319.97 and 31,659.86

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Solution

The fourth proportional to 98,233.97, 147,319.97 and 31,659.86 is: 47,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233.97 : 147,319.97 = 31,659.86 : x
  2. Step 2: Convert to fraction form
    98,233.97/147,319.97 = 31,659.86/x
  3. Step 3: Cross multiply
    98,233.97x = 147,319.97 × 31,659.86
  4. Step 4: Simplify right side
    98,233.97x = 4,664,129,835.40
  5. Step 5: Solve for x
    x = 4,664,129,835.40/98,233.97
  6. Step 6: Final answer
    x = 47,479.81

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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.