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Finding the Fourth Proportional to 82,895.68, 114,361.80 and 57,759.76

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Solution

The fourth proportional to 82,895.68, 114,361.80 and 57,759.76 is: 79,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,895.68 : 114,361.80 = 57,759.76 : x
  2. Step 2: Convert to fraction form
    82,895.68/114,361.80 = 57,759.76/x
  3. Step 3: Cross multiply
    82,895.68x = 114,361.80 × 57,759.76
  4. Step 4: Simplify right side
    82,895.68x = 6,605,510,121.17
  5. Step 5: Solve for x
    x = 6,605,510,121.17/82,895.68
  6. Step 6: Final answer
    x = 79,684.61

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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.