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Finding the Fourth Proportional to 69,177.84, 103,764.30 and 22,429.50

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Solution

The fourth proportional to 69,177.84, 103,764.30 and 22,429.50 is: 33,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,177.84 : 103,764.30 = 22,429.50 : x
  2. Step 2: Convert to fraction form
    69,177.84/103,764.30 = 22,429.50/x
  3. Step 3: Cross multiply
    69,177.84x = 103,764.30 × 22,429.50
  4. Step 4: Simplify right side
    69,177.84x = 2,327,381,366.85
  5. Step 5: Solve for x
    x = 2,327,381,366.85/69,177.84
  6. Step 6: Final answer
    x = 33,643.45

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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.