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Finding the Fourth Proportional to 51,471.55, 77,190.92 and 16,403

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Solution

The fourth proportional to 51,471.55, 77,190.92 and 16,403 is: 24,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471.55 : 77,190.92 = 16,403 : x
  2. Step 2: Convert to fraction form
    51,471.55/77,190.92 = 16,403/x
  3. Step 3: Cross multiply
    51,471.55x = 77,190.92 × 16,403
  4. Step 4: Simplify right side
    51,471.55x = 1,266,162,578.75
  5. Step 5: Solve for x
    x = 1,266,162,578.75/51,471.55
  6. Step 6: Final answer
    x = 24,599.27

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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.