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Finding the Fourth Proportional to 83,967.84, 125,923.68 and 34,032.96

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Solution

The fourth proportional to 83,967.84, 125,923.68 and 34,032.96 is: 51,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967.84 : 125,923.68 = 34,032.96 : x
  2. Step 2: Convert to fraction form
    83,967.84/125,923.68 = 34,032.96/x
  3. Step 3: Cross multiply
    83,967.84x = 125,923.68 × 34,032.96
  4. Step 4: Simplify right side
    83,967.84x = 4,285,555,564.49
  5. Step 5: Solve for x
    x = 4,285,555,564.49/83,967.84
  6. Step 6: Final answer
    x = 51,038.06

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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.