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Finding the Fourth Proportional to 54,748.98, 82,123.47 and 13,195.98

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Solution

The fourth proportional to 54,748.98, 82,123.47 and 13,195.98 is: 19,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748.98 : 82,123.47 = 13,195.98 : x
  2. Step 2: Convert to fraction form
    54,748.98/82,123.47 = 13,195.98/x
  3. Step 3: Cross multiply
    54,748.98x = 82,123.47 × 13,195.98
  4. Step 4: Simplify right side
    54,748.98x = 1,083,699,667.65
  5. Step 5: Solve for x
    x = 1,083,699,667.65/54,748.98
  6. Step 6: Final answer
    x = 19,793.97

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1.5x scale

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.