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Finding the Fourth Proportional to 98,515.47, 147,793.97 and 31,950.41

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Solution

The fourth proportional to 98,515.47, 147,793.97 and 31,950.41 is: 47,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,515.47 : 147,793.97 = 31,950.41 : x
  2. Step 2: Convert to fraction form
    98,515.47/147,793.97 = 31,950.41/x
  3. Step 3: Cross multiply
    98,515.47x = 147,793.97 × 31,950.41
  4. Step 4: Simplify right side
    98,515.47x = 4,722,077,038.31
  5. Step 5: Solve for x
    x = 4,722,077,038.31/98,515.47
  6. Step 6: Final answer
    x = 47,932.34

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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.