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Finding the Fourth Proportional to 98,024.66, 147,037.90 and 27,903.97

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Solution

The fourth proportional to 98,024.66, 147,037.90 and 27,903.97 is: 41,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,024.66 : 147,037.90 = 27,903.97 : x
  2. Step 2: Convert to fraction form
    98,024.66/147,037.90 = 27,903.97/x
  3. Step 3: Cross multiply
    98,024.66x = 147,037.90 × 27,903.97
  4. Step 4: Simplify right side
    98,024.66x = 4,102,941,150.46
  5. Step 5: Solve for x
    x = 4,102,941,150.46/98,024.66
  6. Step 6: Final answer
    x = 41,856.21

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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.