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Finding the Fourth Proportional to 47,661.32, 65,780.49 and 26,447.42

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Solution

The fourth proportional to 47,661.32, 65,780.49 and 26,447.42 is: 36,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661.32 : 65,780.49 = 26,447.42 : x
  2. Step 2: Convert to fraction form
    47,661.32/65,780.49 = 26,447.42/x
  3. Step 3: Cross multiply
    47,661.32x = 65,780.49 × 26,447.42
  4. Step 4: Simplify right side
    47,661.32x = 1,739,724,246.84
  5. Step 5: Solve for x
    x = 1,739,724,246.84/47,661.32
  6. Step 6: Final answer
    x = 36,501.81

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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.