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Finding the Fourth Proportional to 47,709.70, 65,836.81 and 26,487.60

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Solution

The fourth proportional to 47,709.70, 65,836.81 and 26,487.60 is: 36,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.70 : 65,836.81 = 26,487.60 : x
  2. Step 2: Convert to fraction form
    47,709.70/65,836.81 = 26,487.60/x
  3. Step 3: Cross multiply
    47,709.70x = 65,836.81 × 26,487.60
  4. Step 4: Simplify right side
    47,709.70x = 1,743,859,088.56
  5. Step 5: Solve for x
    x = 1,743,859,088.56/47,709.70
  6. Step 6: Final answer
    x = 36,551.46

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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.