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Finding the Fourth Proportional to 56,569.50, 84,865.17 and 21,506.42

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Solution

The fourth proportional to 56,569.50, 84,865.17 and 21,506.42 is: 32,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,569.50 : 84,865.17 = 21,506.42 : x
  2. Step 2: Convert to fraction form
    56,569.50/84,865.17 = 21,506.42/x
  3. Step 3: Cross multiply
    56,569.50x = 84,865.17 × 21,506.42
  4. Step 4: Simplify right side
    56,569.50x = 1,825,146,161.23
  5. Step 5: Solve for x
    x = 1,825,146,161.23/56,569.50
  6. Step 6: Final answer
    x = 32,263.78

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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.