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Finding the Fourth Proportional to 57,225.81, 85,876.81 and 23,519.47

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Solution

The fourth proportional to 57,225.81, 85,876.81 and 23,519.47 is: 35,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.81 : 85,876.81 = 23,519.47 : x
  2. Step 2: Convert to fraction form
    57,225.81/85,876.81 = 23,519.47/x
  3. Step 3: Cross multiply
    57,225.81x = 85,876.81 × 23,519.47
  4. Step 4: Simplify right side
    57,225.81x = 2,019,777,056.49
  5. Step 5: Solve for x
    x = 2,019,777,056.49/57,225.81
  6. Step 6: Final answer
    x = 35,294.86

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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.