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Finding the Fourth Proportional to 98,651.70, 147,978.91 and 32,092.17

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Solution

The fourth proportional to 98,651.70, 147,978.91 and 32,092.17 is: 48,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,651.70 : 147,978.91 = 32,092.17 : x
  2. Step 2: Convert to fraction form
    98,651.70/147,978.91 = 32,092.17/x
  3. Step 3: Cross multiply
    98,651.70x = 147,978.91 × 32,092.17
  4. Step 4: Simplify right side
    98,651.70x = 4,748,964,336.13
  5. Step 5: Solve for x
    x = 4,748,964,336.13/98,651.70
  6. Step 6: Final answer
    x = 48,138.70

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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.