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Finding the Fourth Proportional to 52,831.99, 79,222.91 and 30,652.17

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Solution

The fourth proportional to 52,831.99, 79,222.91 and 30,652.17 is: 45,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831.99 : 79,222.91 = 30,652.17 : x
  2. Step 2: Convert to fraction form
    52,831.99/79,222.91 = 30,652.17/x
  3. Step 3: Cross multiply
    52,831.99x = 79,222.91 × 30,652.17
  4. Step 4: Simplify right side
    52,831.99x = 2,428,354,105.21
  5. Step 5: Solve for x
    x = 2,428,354,105.21/52,831.99
  6. Step 6: Final answer
    x = 45,963.71

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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.