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Finding the Fourth Proportional to 49,648.80, 74,458.80 and 18,055.20

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Solution

The fourth proportional to 49,648.80, 74,458.80 and 18,055.20 is: 27,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.80 : 74,458.80 = 18,055.20 : x
  2. Step 2: Convert to fraction form
    49,648.80/74,458.80 = 18,055.20/x
  3. Step 3: Cross multiply
    49,648.80x = 74,458.80 × 18,055.20
  4. Step 4: Simplify right side
    49,648.80x = 1,344,368,525.76
  5. Step 5: Solve for x
    x = 1,344,368,525.76/49,648.80
  6. Step 6: Final answer
    x = 27,077.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.