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Finding the Fourth Proportional to 47,471.70, 65,508.17 and 26,250.51

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Solution

The fourth proportional to 47,471.70, 65,508.17 and 26,250.51 is: 36,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,471.70 : 65,508.17 = 26,250.51 : x
  2. Step 2: Convert to fraction form
    47,471.70/65,508.17 = 26,250.51/x
  3. Step 3: Cross multiply
    47,471.70x = 65,508.17 × 26,250.51
  4. Step 4: Simplify right side
    47,471.70x = 1,719,622,740.41
  5. Step 5: Solve for x
    x = 1,719,622,740.41/47,471.70
  6. Step 6: Final answer
    x = 36,224.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.