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Finding the Fourth Proportional to 98,161.76, 147,272.16 and 34,973.62

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Solution

The fourth proportional to 98,161.76, 147,272.16 and 34,973.62 is: 52,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,161.76 : 147,272.16 = 34,973.62 : x
  2. Step 2: Convert to fraction form
    98,161.76/147,272.16 = 34,973.62/x
  3. Step 3: Cross multiply
    98,161.76x = 147,272.16 × 34,973.62
  4. Step 4: Simplify right side
    98,161.76x = 5,150,640,560.42
  5. Step 5: Solve for x
    x = 5,150,640,560.42/98,161.76
  6. Step 6: Final answer
    x = 52,470.95

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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.