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Finding the Fourth Proportional to 82,859.84, 124,268.88 and 23,695.84

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Solution

The fourth proportional to 82,859.84, 124,268.88 and 23,695.84 is: 35,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,859.84 : 124,268.88 = 23,695.84 : x
  2. Step 2: Convert to fraction form
    82,859.84/124,268.88 = 23,695.84/x
  3. Step 3: Cross multiply
    82,859.84x = 124,268.88 × 23,695.84
  4. Step 4: Simplify right side
    82,859.84x = 2,944,655,497.46
  5. Step 5: Solve for x
    x = 2,944,655,497.46/82,859.84
  6. Step 6: Final answer
    x = 35,537.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.