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Finding the Fourth Proportional to 84,642.14, 116,801.66 and 48,830.02

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Solution

The fourth proportional to 84,642.14, 116,801.66 and 48,830.02 is: 67,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.14 : 116,801.66 = 48,830.02 : x
  2. Step 2: Convert to fraction form
    84,642.14/116,801.66 = 48,830.02/x
  3. Step 3: Cross multiply
    84,642.14x = 116,801.66 × 48,830.02
  4. Step 4: Simplify right side
    84,642.14x = 5,703,427,393.83
  5. Step 5: Solve for x
    x = 5,703,427,393.83/84,642.14
  6. Step 6: Final answer
    x = 67,382.84

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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.