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Finding the Fourth Proportional to 54,950.88, 75,831.36 and 31,076.88

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Solution

The fourth proportional to 54,950.88, 75,831.36 and 31,076.88 is: 42,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.88 : 75,831.36 = 31,076.88 : x
  2. Step 2: Convert to fraction form
    54,950.88/75,831.36 = 31,076.88/x
  3. Step 3: Cross multiply
    54,950.88x = 75,831.36 × 31,076.88
  4. Step 4: Simplify right side
    54,950.88x = 2,356,602,074.96
  5. Step 5: Solve for x
    x = 2,356,602,074.96/54,950.88
  6. Step 6: Final answer
    x = 42,885.61

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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.