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Finding the Fourth Proportional to 57,188.40, 85,816.30 and 23,905.90

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Solution

The fourth proportional to 57,188.40, 85,816.30 and 23,905.90 is: 35,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,188.40 : 85,816.30 = 23,905.90 : x
  2. Step 2: Convert to fraction form
    57,188.40/85,816.30 = 23,905.90/x
  3. Step 3: Cross multiply
    57,188.40x = 85,816.30 × 23,905.90
  4. Step 4: Simplify right side
    57,188.40x = 2,051,515,886.17
  5. Step 5: Solve for x
    x = 2,051,515,886.17/57,188.40
  6. Step 6: Final answer
    x = 35,872.94

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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.