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Finding the Fourth Proportional to 98,976.40, 148,367.40 and 49,064.20

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Solution

The fourth proportional to 98,976.40, 148,367.40 and 49,064.20 is: 73,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,976.40 : 148,367.40 = 49,064.20 : x
  2. Step 2: Convert to fraction form
    98,976.40/148,367.40 = 49,064.20/x
  3. Step 3: Cross multiply
    98,976.40x = 148,367.40 × 49,064.20
  4. Step 4: Simplify right side
    98,976.40x = 7,279,527,787.08
  5. Step 5: Solve for x
    x = 7,279,527,787.08/98,976.40
  6. Step 6: Final answer
    x = 73,548.12

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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.