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Finding the Fourth Proportional to 83,762.64, 115,596.36 and 47,956.56

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Solution

The fourth proportional to 83,762.64, 115,596.36 and 47,956.56 is: 66,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,762.64 : 115,596.36 = 47,956.56 : x
  2. Step 2: Convert to fraction form
    83,762.64/115,596.36 = 47,956.56/x
  3. Step 3: Cross multiply
    83,762.64x = 115,596.36 × 47,956.56
  4. Step 4: Simplify right side
    83,762.64x = 5,543,603,774.12
  5. Step 5: Solve for x
    x = 5,543,603,774.12/83,762.64
  6. Step 6: Final answer
    x = 66,182.30

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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.