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Finding the Fourth Proportional to 82,661.18, 113,963.76 and 59,671.62

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Solution

The fourth proportional to 82,661.18, 113,963.76 and 59,671.62 is: 82,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.18 : 113,963.76 = 59,671.62 : x
  2. Step 2: Convert to fraction form
    82,661.18/113,963.76 = 59,671.62/x
  3. Step 3: Cross multiply
    82,661.18x = 113,963.76 × 59,671.62
  4. Step 4: Simplify right side
    82,661.18x = 6,800,402,180.49
  5. Step 5: Solve for x
    x = 6,800,402,180.49/82,661.18
  6. Step 6: Final answer
    x = 82,268.39

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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.