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Finding the Fourth Proportional to 47,805.70, 65,969.16 and 26,584.52

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Solution

The fourth proportional to 47,805.70, 65,969.16 and 26,584.52 is: 36,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.70 : 65,969.16 = 26,584.52 : x
  2. Step 2: Convert to fraction form
    47,805.70/65,969.16 = 26,584.52/x
  3. Step 3: Cross multiply
    47,805.70x = 65,969.16 × 26,584.52
  4. Step 4: Simplify right side
    47,805.70x = 1,753,758,453.40
  5. Step 5: Solve for x
    x = 1,753,758,453.40/47,805.70
  6. Step 6: Final answer
    x = 36,685.13

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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.