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Finding the Fourth Proportional to 47,524.56, 65,581.83 and 26,302.56

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Solution

The fourth proportional to 47,524.56, 65,581.83 and 26,302.56 is: 36,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,524.56 : 65,581.83 = 26,302.56 : x
  2. Step 2: Convert to fraction form
    47,524.56/65,581.83 = 26,302.56/x
  3. Step 3: Cross multiply
    47,524.56x = 65,581.83 × 26,302.56
  4. Step 4: Simplify right side
    47,524.56x = 1,724,970,018.48
  5. Step 5: Solve for x
    x = 1,724,970,018.48/47,524.56
  6. Step 6: Final answer
    x = 36,296.39

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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.