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Finding the Fourth Proportional to 98,489.96, 147,632.88 and 45,856.16

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Solution

The fourth proportional to 98,489.96, 147,632.88 and 45,856.16 is: 68,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,489.96 : 147,632.88 = 45,856.16 : x
  2. Step 2: Convert to fraction form
    98,489.96/147,632.88 = 45,856.16/x
  3. Step 3: Cross multiply
    98,489.96x = 147,632.88 × 45,856.16
  4. Step 4: Simplify right side
    98,489.96x = 6,769,876,966.54
  5. Step 5: Solve for x
    x = 6,769,876,966.54/98,489.96
  6. Step 6: Final answer
    x = 68,736.72

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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.