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Finding the Fourth Proportional to 54,443.80, 81,985.48 and 47,506.57

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Solution

The fourth proportional to 54,443.80, 81,985.48 and 47,506.57 is: 71,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,443.80 : 81,985.48 = 47,506.57 : x
  2. Step 2: Convert to fraction form
    54,443.80/81,985.48 = 47,506.57/x
  3. Step 3: Cross multiply
    54,443.80x = 81,985.48 × 47,506.57
  4. Step 4: Simplify right side
    54,443.80x = 3,894,848,620.87
  5. Step 5: Solve for x
    x = 3,894,848,620.87/54,443.80
  6. Step 6: Final answer
    x = 71,538.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.