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Finding the Fourth Proportional to 98,047.20, 147,027.60 and 38,863.20

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Solution

The fourth proportional to 98,047.20, 147,027.60 and 38,863.20 is: 58,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,047.20 : 147,027.60 = 38,863.20 : x
  2. Step 2: Convert to fraction form
    98,047.20/147,027.60 = 38,863.20/x
  3. Step 3: Cross multiply
    98,047.20x = 147,027.60 × 38,863.20
  4. Step 4: Simplify right side
    98,047.20x = 5,713,963,024.32
  5. Step 5: Solve for x
    x = 5,713,963,024.32/98,047.20
  6. Step 6: Final answer
    x = 58,277.68

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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.