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Finding the Fourth Proportional to 52,046.56, 78,082.28 and 16,986.28

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Solution

The fourth proportional to 52,046.56, 78,082.28 and 16,986.28 is: 25,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.56 : 78,082.28 = 16,986.28 : x
  2. Step 2: Convert to fraction form
    52,046.56/78,082.28 = 16,986.28/x
  3. Step 3: Cross multiply
    52,046.56x = 78,082.28 × 16,986.28
  4. Step 4: Simplify right side
    52,046.56x = 1,326,327,471.12
  5. Step 5: Solve for x
    x = 1,326,327,471.12/52,046.56
  6. Step 6: Final answer
    x = 25,483.48

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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.