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Finding the Fourth Proportional to 99,964.76, 137,955.08 and 54,645.82

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Solution

The fourth proportional to 99,964.76, 137,955.08 and 54,645.82 is: 75,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,964.76 : 137,955.08 = 54,645.82 : x
  2. Step 2: Convert to fraction form
    99,964.76/137,955.08 = 54,645.82/x
  3. Step 3: Cross multiply
    99,964.76x = 137,955.08 × 54,645.82
  4. Step 4: Simplify right side
    99,964.76x = 7,538,668,469.77
  5. Step 5: Solve for x
    x = 7,538,668,469.77/99,964.76
  6. Step 6: Final answer
    x = 75,413.26

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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.