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Finding the Fourth Proportional to 98,098.50, 147,149.14 and 27,977.82

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Solution

The fourth proportional to 98,098.50, 147,149.14 and 27,977.82 is: 41,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.50 : 147,149.14 = 27,977.82 : x
  2. Step 2: Convert to fraction form
    98,098.50/147,149.14 = 27,977.82/x
  3. Step 3: Cross multiply
    98,098.50x = 147,149.14 × 27,977.82
  4. Step 4: Simplify right side
    98,098.50x = 4,116,911,276.44
  5. Step 5: Solve for x
    x = 4,116,911,276.44/98,098.50
  6. Step 6: Final answer
    x = 41,967.12

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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.