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Finding the Fourth Proportional to 57,038.81, 85,572.79 and 23,747.81

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Solution

The fourth proportional to 57,038.81, 85,572.79 and 23,747.81 is: 35,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.81 : 85,572.79 = 23,747.81 : x
  2. Step 2: Convert to fraction form
    57,038.81/85,572.79 = 23,747.81/x
  3. Step 3: Cross multiply
    57,038.81x = 85,572.79 × 23,747.81
  4. Step 4: Simplify right side
    57,038.81x = 2,032,166,358.09
  5. Step 5: Solve for x
    x = 2,032,166,358.09/57,038.81
  6. Step 6: Final answer
    x = 35,627.78

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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.