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Finding the Fourth Proportional to 40,356, 55,696.14 and 23,589

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Solution

The fourth proportional to 40,356, 55,696.14 and 23,589 is: 32,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,356 : 55,696.14 = 23,589 : x
  2. Step 2: Convert to fraction form
    40,356/55,696.14 = 23,589/x
  3. Step 3: Cross multiply
    40,356x = 55,696.14 × 23,589
  4. Step 4: Simplify right side
    40,356x = 1,313,816,246.46
  5. Step 5: Solve for x
    x = 1,313,816,246.46/40,356
  6. Step 6: Final answer
    x = 32,555.66

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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.