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Finding the Fourth Proportional to 84,878.32, 117,134.60 and 49,065.16

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Solution

The fourth proportional to 84,878.32, 117,134.60 and 49,065.16 is: 67,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,878.32 : 117,134.60 = 49,065.16 : x
  2. Step 2: Convert to fraction form
    84,878.32/117,134.60 = 49,065.16/x
  3. Step 3: Cross multiply
    84,878.32x = 117,134.60 × 49,065.16
  4. Step 4: Simplify right side
    84,878.32x = 5,747,227,890.54
  5. Step 5: Solve for x
    x = 5,747,227,890.54/84,878.32
  6. Step 6: Final answer
    x = 67,711.38

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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.