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Finding the Fourth Proportional to 82,883.88, 124,303.04 and 22,898

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Solution

The fourth proportional to 82,883.88, 124,303.04 and 22,898 is: 34,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.88 : 124,303.04 = 22,898 : x
  2. Step 2: Convert to fraction form
    82,883.88/124,303.04 = 22,898/x
  3. Step 3: Cross multiply
    82,883.88x = 124,303.04 × 22,898
  4. Step 4: Simplify right side
    82,883.88x = 2,846,291,009.92
  5. Step 5: Solve for x
    x = 2,846,291,009.92/82,883.88
  6. Step 6: Final answer
    x = 34,340.71

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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.