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Finding the Fourth Proportional to 52,329.62, 78,472.56 and 21,143

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Solution

The fourth proportional to 52,329.62, 78,472.56 and 21,143 is: 31,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,329.62 : 78,472.56 = 21,143 : x
  2. Step 2: Convert to fraction form
    52,329.62/78,472.56 = 21,143/x
  3. Step 3: Cross multiply
    52,329.62x = 78,472.56 × 21,143
  4. Step 4: Simplify right side
    52,329.62x = 1,659,145,336.08
  5. Step 5: Solve for x
    x = 1,659,145,336.08/52,329.62
  6. Step 6: Final answer
    x = 31,705.66

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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.