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Finding the Fourth Proportional to 98,179.33, 147,264.88 and 31,617.98

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Solution

The fourth proportional to 98,179.33, 147,264.88 and 31,617.98 is: 47,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,179.33 : 147,264.88 = 31,617.98 : x
  2. Step 2: Convert to fraction form
    98,179.33/147,264.88 = 31,617.98/x
  3. Step 3: Cross multiply
    98,179.33x = 147,264.88 × 31,617.98
  4. Step 4: Simplify right side
    98,179.33x = 4,656,218,319.66
  5. Step 5: Solve for x
    x = 4,656,218,319.66/98,179.33
  6. Step 6: Final answer
    x = 47,425.65

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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.