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Finding the Fourth Proportional to 98,523.92, 147,844.20 and 36,238.16

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Solution

The fourth proportional to 98,523.92, 147,844.20 and 36,238.16 is: 54,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523.92 : 147,844.20 = 36,238.16 : x
  2. Step 2: Convert to fraction form
    98,523.92/147,844.20 = 36,238.16/x
  3. Step 3: Cross multiply
    98,523.92x = 147,844.20 × 36,238.16
  4. Step 4: Simplify right side
    98,523.92x = 5,357,601,774.67
  5. Step 5: Solve for x
    x = 5,357,601,774.67/98,523.92
  6. Step 6: Final answer
    x = 54,378.69

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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.