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Finding the Fourth Proportional to 76,046.57, 114,076.52 and 19,886.46

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Solution

The fourth proportional to 76,046.57, 114,076.52 and 19,886.46 is: 29,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046.57 : 114,076.52 = 19,886.46 : x
  2. Step 2: Convert to fraction form
    76,046.57/114,076.52 = 19,886.46/x
  3. Step 3: Cross multiply
    76,046.57x = 114,076.52 × 19,886.46
  4. Step 4: Simplify right side
    76,046.57x = 2,268,578,052.49
  5. Step 5: Solve for x
    x = 2,268,578,052.49/76,046.57
  6. Step 6: Final answer
    x = 29,831.43

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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.