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Finding the Fourth Proportional to 98,407.86, 147,610.82 and 45,084.71

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Solution

The fourth proportional to 98,407.86, 147,610.82 and 45,084.71 is: 67,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,407.86 : 147,610.82 = 45,084.71 : x
  2. Step 2: Convert to fraction form
    98,407.86/147,610.82 = 45,084.71/x
  3. Step 3: Cross multiply
    98,407.86x = 147,610.82 × 45,084.71
  4. Step 4: Simplify right side
    98,407.86x = 6,654,991,731.33
  5. Step 5: Solve for x
    x = 6,654,991,731.33/98,407.86
  6. Step 6: Final answer
    x = 67,626.63

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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.