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Finding the Fourth Proportional to 98,963.92, 148,471.80 and 49,042

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Solution

The fourth proportional to 98,963.92, 148,471.80 and 49,042 is: 73,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963.92 : 148,471.80 = 49,042 : x
  2. Step 2: Convert to fraction form
    98,963.92/148,471.80 = 49,042/x
  3. Step 3: Cross multiply
    98,963.92x = 148,471.80 × 49,042
  4. Step 4: Simplify right side
    98,963.92x = 7,281,354,015.60
  5. Step 5: Solve for x
    x = 7,281,354,015.60/98,963.92
  6. Step 6: Final answer
    x = 73,575.84

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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.