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Finding the Fourth Proportional to 74,831.84, 112,149.32 and 35,400.20

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Solution

The fourth proportional to 74,831.84, 112,149.32 and 35,400.20 is: 53,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,831.84 : 112,149.32 = 35,400.20 : x
  2. Step 2: Convert to fraction form
    74,831.84/112,149.32 = 35,400.20/x
  3. Step 3: Cross multiply
    74,831.84x = 112,149.32 × 35,400.20
  4. Step 4: Simplify right side
    74,831.84x = 3,970,108,357.86
  5. Step 5: Solve for x
    x = 3,970,108,357.86/74,831.84
  6. Step 6: Final answer
    x = 53,053.73

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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.