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Finding the Fourth Proportional to 84,854.54, 117,101.14 and 49,046.06

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Solution

The fourth proportional to 84,854.54, 117,101.14 and 49,046.06 is: 67,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.54 : 117,101.14 = 49,046.06 : x
  2. Step 2: Convert to fraction form
    84,854.54/117,101.14 = 49,046.06/x
  3. Step 3: Cross multiply
    84,854.54x = 117,101.14 × 49,046.06
  4. Step 4: Simplify right side
    84,854.54x = 5,743,349,538.51
  5. Step 5: Solve for x
    x = 5,743,349,538.51/84,854.54
  6. Step 6: Final answer
    x = 67,684.65

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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.