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Finding the Fourth Proportional to 98,539.67, 147,771.16 and 31,963.70

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Solution

The fourth proportional to 98,539.67, 147,771.16 and 31,963.70 is: 47,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.67 : 147,771.16 = 31,963.70 : x
  2. Step 2: Convert to fraction form
    98,539.67/147,771.16 = 31,963.70/x
  3. Step 3: Cross multiply
    98,539.67x = 147,771.16 × 31,963.70
  4. Step 4: Simplify right side
    98,539.67x = 4,723,313,026.89
  5. Step 5: Solve for x
    x = 4,723,313,026.89/98,539.67
  6. Step 6: Final answer
    x = 47,933.11

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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.