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Finding the Fourth Proportional to 98,571.72, 147,866.88 and 27,499.08

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Solution

The fourth proportional to 98,571.72, 147,866.88 and 27,499.08 is: 41,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.72 : 147,866.88 = 27,499.08 : x
  2. Step 2: Convert to fraction form
    98,571.72/147,866.88 = 27,499.08/x
  3. Step 3: Cross multiply
    98,571.72x = 147,866.88 × 27,499.08
  4. Step 4: Simplify right side
    98,571.72x = 4,066,203,162.47
  5. Step 5: Solve for x
    x = 4,066,203,162.47/98,571.72
  6. Step 6: Final answer
    x = 41,251.21

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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.