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Finding the Fourth Proportional to 47,752.70, 65,871.27 and 29,816.56

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Solution

The fourth proportional to 47,752.70, 65,871.27 and 29,816.56 is: 41,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.70 : 65,871.27 = 29,816.56 : x
  2. Step 2: Convert to fraction form
    47,752.70/65,871.27 = 29,816.56/x
  3. Step 3: Cross multiply
    47,752.70x = 65,871.27 × 29,816.56
  4. Step 4: Simplify right side
    47,752.70x = 1,964,054,756.57
  5. Step 5: Solve for x
    x = 1,964,054,756.57/47,752.70
  6. Step 6: Final answer
    x = 41,129.72

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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.