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Finding the Fourth Proportional to 98,019.98, 147,029.25 and 27,899.18

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Solution

The fourth proportional to 98,019.98, 147,029.25 and 27,899.18 is: 41,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.98 : 147,029.25 = 27,899.18 : x
  2. Step 2: Convert to fraction form
    98,019.98/147,029.25 = 27,899.18/x
  3. Step 3: Cross multiply
    98,019.98x = 147,029.25 × 27,899.18
  4. Step 4: Simplify right side
    98,019.98x = 4,101,995,511.02
  5. Step 5: Solve for x
    x = 4,101,995,511.02/98,019.98
  6. Step 6: Final answer
    x = 41,848.57

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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.