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Finding the Fourth Proportional to 98,108.50, 147,164.16 and 27,987.82

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Solution

The fourth proportional to 98,108.50, 147,164.16 and 27,987.82 is: 41,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,108.50 : 147,164.16 = 27,987.82 : x
  2. Step 2: Convert to fraction form
    98,108.50/147,164.16 = 27,987.82/x
  3. Step 3: Cross multiply
    98,108.50x = 147,164.16 × 27,987.82
  4. Step 4: Simplify right side
    98,108.50x = 4,118,804,020.53
  5. Step 5: Solve for x
    x = 4,118,804,020.53/98,108.50
  6. Step 6: Final answer
    x = 41,982.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.