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Finding the Fourth Proportional to 40,857.59, 56,377.33 and 22,949.16

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Solution

The fourth proportional to 40,857.59, 56,377.33 and 22,949.16 is: 31,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,857.59 : 56,377.33 = 22,949.16 : x
  2. Step 2: Convert to fraction form
    40,857.59/56,377.33 = 22,949.16/x
  3. Step 3: Cross multiply
    40,857.59x = 56,377.33 × 22,949.16
  4. Step 4: Simplify right side
    40,857.59x = 1,293,812,366.54
  5. Step 5: Solve for x
    x = 1,293,812,366.54/40,857.59
  6. Step 6: Final answer
    x = 31,666.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.