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Finding the Fourth Proportional to 98,516.88, 147,796.07 and 31,951.82

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Solution

The fourth proportional to 98,516.88, 147,796.07 and 31,951.82 is: 47,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516.88 : 147,796.07 = 31,951.82 : x
  2. Step 2: Convert to fraction form
    98,516.88/147,796.07 = 31,951.82/x
  3. Step 3: Cross multiply
    98,516.88x = 147,796.07 × 31,951.82
  4. Step 4: Simplify right side
    98,516.88x = 4,722,352,526.61
  5. Step 5: Solve for x
    x = 4,722,352,526.61/98,516.88
  6. Step 6: Final answer
    x = 47,934.45

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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.