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Finding the Fourth Proportional to 55,338.80, 82,987.84 and 19,790.52

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Solution

The fourth proportional to 55,338.80, 82,987.84 and 19,790.52 is: 29,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,338.80 : 82,987.84 = 19,790.52 : x
  2. Step 2: Convert to fraction form
    55,338.80/82,987.84 = 19,790.52/x
  3. Step 3: Cross multiply
    55,338.80x = 82,987.84 × 19,790.52
  4. Step 4: Simplify right side
    55,338.80x = 1,642,372,507.28
  5. Step 5: Solve for x
    x = 1,642,372,507.28/55,338.80
  6. Step 6: Final answer
    x = 29,678.50

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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.