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Finding the Fourth Proportional to 98,566.65, 147,833.78 and 27,494.15

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Solution

The fourth proportional to 98,566.65, 147,833.78 and 27,494.15 is: 41,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,566.65 : 147,833.78 = 27,494.15 : x
  2. Step 2: Convert to fraction form
    98,566.65/147,833.78 = 27,494.15/x
  3. Step 3: Cross multiply
    98,566.65x = 147,833.78 × 27,494.15
  4. Step 4: Simplify right side
    98,566.65x = 4,064,563,245.75
  5. Step 5: Solve for x
    x = 4,064,563,245.75/98,566.65
  6. Step 6: Final answer
    x = 41,236.70

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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.