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Finding the Fourth Proportional to 97,615.80, 146,422.98 and 27,493.56

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Solution

The fourth proportional to 97,615.80, 146,422.98 and 27,493.56 is: 41,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,615.80 : 146,422.98 = 27,493.56 : x
  2. Step 2: Convert to fraction form
    97,615.80/146,422.98 = 27,493.56/x
  3. Step 3: Cross multiply
    97,615.80x = 146,422.98 × 27,493.56
  4. Step 4: Simplify right side
    97,615.80x = 4,025,688,986.01
  5. Step 5: Solve for x
    x = 4,025,688,986.01/97,615.80
  6. Step 6: Final answer
    x = 41,240.14

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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.