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Finding the Fourth Proportional to 56,956.24, 85,427.88 and 15,400

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Solution

The fourth proportional to 56,956.24, 85,427.88 and 15,400 is: 23,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,956.24 : 85,427.88 = 15,400 : x
  2. Step 2: Convert to fraction form
    56,956.24/85,427.88 = 15,400/x
  3. Step 3: Cross multiply
    56,956.24x = 85,427.88 × 15,400
  4. Step 4: Simplify right side
    56,956.24x = 1,315,589,352
  5. Step 5: Solve for x
    x = 1,315,589,352/56,956.24
  6. Step 6: Final answer
    x = 23,098.25

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