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Finding the Fourth Proportional to 83,672.32, 115,485.60 and 50,157.76

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Solution

The fourth proportional to 83,672.32, 115,485.60 and 50,157.76 is: 69,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672.32 : 115,485.60 = 50,157.76 : x
  2. Step 2: Convert to fraction form
    83,672.32/115,485.60 = 50,157.76/x
  3. Step 3: Cross multiply
    83,672.32x = 115,485.60 × 50,157.76
  4. Step 4: Simplify right side
    83,672.32x = 5,792,499,008.26
  5. Step 5: Solve for x
    x = 5,792,499,008.26/83,672.32
  6. Step 6: Final answer
    x = 69,228.38

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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.