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Finding the Fourth Proportional to 81,052.52, 111,871.14 and 47,529.32

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Solution

The fourth proportional to 81,052.52, 111,871.14 and 47,529.32 is: 65,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,052.52 : 111,871.14 = 47,529.32 : x
  2. Step 2: Convert to fraction form
    81,052.52/111,871.14 = 47,529.32/x
  3. Step 3: Cross multiply
    81,052.52x = 111,871.14 × 47,529.32
  4. Step 4: Simplify right side
    81,052.52x = 5,317,159,211.82
  5. Step 5: Solve for x
    x = 5,317,159,211.82/81,052.52
  6. Step 6: Final answer
    x = 65,601.41

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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.