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Finding the Fourth Proportional to 98,500.40, 147,735.85 and 35,310.98

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Solution

The fourth proportional to 98,500.40, 147,735.85 and 35,310.98 is: 52,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,500.40 : 147,735.85 = 35,310.98 : x
  2. Step 2: Convert to fraction form
    98,500.40/147,735.85 = 35,310.98/x
  3. Step 3: Cross multiply
    98,500.40x = 147,735.85 × 35,310.98
  4. Step 4: Simplify right side
    98,500.40x = 5,216,696,729.40
  5. Step 5: Solve for x
    x = 5,216,696,729.40/98,500.40
  6. Step 6: Final answer
    x = 52,961.18

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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.