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Finding the Fourth Proportional to 98,041.32, 147,037.68 and 27,921.24

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Solution

The fourth proportional to 98,041.32, 147,037.68 and 27,921.24 is: 41,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041.32 : 147,037.68 = 27,921.24 : x
  2. Step 2: Convert to fraction form
    98,041.32/147,037.68 = 27,921.24/x
  3. Step 3: Cross multiply
    98,041.32x = 147,037.68 × 27,921.24
  4. Step 4: Simplify right side
    98,041.32x = 4,105,474,352.32
  5. Step 5: Solve for x
    x = 4,105,474,352.32/98,041.32
  6. Step 6: Final answer
    x = 41,874.94

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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.