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Finding the Fourth Proportional to 56,906.40, 85,376.88 and 25,741.92

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Solution

The fourth proportional to 56,906.40, 85,376.88 and 25,741.92 is: 38,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906.40 : 85,376.88 = 25,741.92 : x
  2. Step 2: Convert to fraction form
    56,906.40/85,376.88 = 25,741.92/x
  3. Step 3: Cross multiply
    56,906.40x = 85,376.88 × 25,741.92
  4. Step 4: Simplify right side
    56,906.40x = 2,197,764,814.81
  5. Step 5: Solve for x
    x = 2,197,764,814.81/56,906.40
  6. Step 6: Final answer
    x = 38,620.70

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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.