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Finding the Fourth Proportional to 67,882.78, 101,831.10 and 23,509.45

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Solution

The fourth proportional to 67,882.78, 101,831.10 and 23,509.45 is: 35,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882.78 : 101,831.10 = 23,509.45 : x
  2. Step 2: Convert to fraction form
    67,882.78/101,831.10 = 23,509.45/x
  3. Step 3: Cross multiply
    67,882.78x = 101,831.10 × 23,509.45
  4. Step 4: Simplify right side
    67,882.78x = 2,393,993,153.90
  5. Step 5: Solve for x
    x = 2,393,993,153.90/67,882.78
  6. Step 6: Final answer
    x = 35,266.58

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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.