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Finding the Fourth Proportional to 47,906.54, 71,896.70 and 38,569.40

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Solution

The fourth proportional to 47,906.54, 71,896.70 and 38,569.40 is: 57,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.54 : 71,896.70 = 38,569.40 : x
  2. Step 2: Convert to fraction form
    47,906.54/71,896.70 = 38,569.40/x
  3. Step 3: Cross multiply
    47,906.54x = 71,896.70 × 38,569.40
  4. Step 4: Simplify right side
    47,906.54x = 2,773,012,580.98
  5. Step 5: Solve for x
    x = 2,773,012,580.98/47,906.54
  6. Step 6: Final answer
    x = 57,883.80

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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.