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Finding the Fourth Proportional to 98,382.17, 147,604.39 and 35,200.91

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Solution

The fourth proportional to 98,382.17, 147,604.39 and 35,200.91 is: 52,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.17 : 147,604.39 = 35,200.91 : x
  2. Step 2: Convert to fraction form
    98,382.17/147,604.39 = 35,200.91/x
  3. Step 3: Cross multiply
    98,382.17x = 147,604.39 × 35,200.91
  4. Step 4: Simplify right side
    98,382.17x = 5,195,808,021.97
  5. Step 5: Solve for x
    x = 5,195,808,021.97/98,382.17
  6. Step 6: Final answer
    x = 52,812.50

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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.