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Finding the Fourth Proportional to 98,571.15, 147,840.53 and 27,498.65

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Solution

The fourth proportional to 98,571.15, 147,840.53 and 27,498.65 is: 41,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.15 : 147,840.53 = 27,498.65 : x
  2. Step 2: Convert to fraction form
    98,571.15/147,840.53 = 27,498.65/x
  3. Step 3: Cross multiply
    98,571.15x = 147,840.53 × 27,498.65
  4. Step 4: Simplify right side
    98,571.15x = 4,065,414,113.59
  5. Step 5: Solve for x
    x = 4,065,414,113.59/98,571.15
  6. Step 6: Final answer
    x = 41,243.45

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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.