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Finding the Fourth Proportional to 98,107.50, 147,162.66 and 27,986.82

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Solution

The fourth proportional to 98,107.50, 147,162.66 and 27,986.82 is: 41,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107.50 : 147,162.66 = 27,986.82 : x
  2. Step 2: Convert to fraction form
    98,107.50/147,162.66 = 27,986.82/x
  3. Step 3: Cross multiply
    98,107.50x = 147,162.66 × 27,986.82
  4. Step 4: Simplify right side
    98,107.50x = 4,118,614,876.14
  5. Step 5: Solve for x
    x = 4,118,614,876.14/98,107.50
  6. Step 6: Final answer
    x = 41,980.63

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1.5x scale

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.