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Finding the Fourth Proportional to 47,046.56, 70,580.78 and 15,881.81

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Solution

The fourth proportional to 47,046.56, 70,580.78 and 15,881.81 is: 23,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046.56 : 70,580.78 = 15,881.81 : x
  2. Step 2: Convert to fraction form
    47,046.56/70,580.78 = 15,881.81/x
  3. Step 3: Cross multiply
    47,046.56x = 70,580.78 × 15,881.81
  4. Step 4: Simplify right side
    47,046.56x = 1,120,950,753.77
  5. Step 5: Solve for x
    x = 1,120,950,753.77/47,046.56
  6. Step 6: Final answer
    x = 23,826.41

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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.