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Finding the Fourth Proportional to 82,956.70, 124,422.90 and 23,786.20

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Solution

The fourth proportional to 82,956.70, 124,422.90 and 23,786.20 is: 35,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956.70 : 124,422.90 = 23,786.20 : x
  2. Step 2: Convert to fraction form
    82,956.70/124,422.90 = 23,786.20/x
  3. Step 3: Cross multiply
    82,956.70x = 124,422.90 × 23,786.20
  4. Step 4: Simplify right side
    82,956.70x = 2,959,547,983.98
  5. Step 5: Solve for x
    x = 2,959,547,983.98/82,956.70
  6. Step 6: Final answer
    x = 35,675.82

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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.