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Finding the Fourth Proportional to 40,969.43, 56,538.87 and 23,065.07

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Solution

The fourth proportional to 40,969.43, 56,538.87 and 23,065.07 is: 31,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,969.43 : 56,538.87 = 23,065.07 : x
  2. Step 2: Convert to fraction form
    40,969.43/56,538.87 = 23,065.07/x
  3. Step 3: Cross multiply
    40,969.43x = 56,538.87 × 23,065.07
  4. Step 4: Simplify right side
    40,969.43x = 1,304,072,943.11
  5. Step 5: Solve for x
    x = 1,304,072,943.11/40,969.43
  6. Step 6: Final answer
    x = 31,830.39

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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.