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Finding the Fourth Proportional to 39,714, 54,831.03 and 24,622.74

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Solution

The fourth proportional to 39,714, 54,831.03 and 24,622.74 is: 33,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714 : 54,831.03 = 24,622.74 : x
  2. Step 2: Convert to fraction form
    39,714/54,831.03 = 24,622.74/x
  3. Step 3: Cross multiply
    39,714x = 54,831.03 × 24,622.74
  4. Step 4: Simplify right side
    39,714x = 1,350,090,195.62
  5. Step 5: Solve for x
    x = 1,350,090,195.62/39,714
  6. Step 6: Final answer
    x = 33,995.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.