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Finding the Fourth Proportional to 98,882.74, 148,324.16 and 24,003

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Solution

The fourth proportional to 98,882.74, 148,324.16 and 24,003 is: 36,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882.74 : 148,324.16 = 24,003 : x
  2. Step 2: Convert to fraction form
    98,882.74/148,324.16 = 24,003/x
  3. Step 3: Cross multiply
    98,882.74x = 148,324.16 × 24,003
  4. Step 4: Simplify right side
    98,882.74x = 3,560,224,812.48
  5. Step 5: Solve for x
    x = 3,560,224,812.48/98,882.74
  6. Step 6: Final answer
    x = 36,004.51

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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.