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Finding the Fourth Proportional to 30,943.36, 46,042.76 and 30,839.68

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Solution

The fourth proportional to 30,943.36, 46,042.76 and 30,839.68 is: 45,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.36 : 46,042.76 = 30,839.68 : x
  2. Step 2: Convert to fraction form
    30,943.36/46,042.76 = 30,839.68/x
  3. Step 3: Cross multiply
    30,943.36x = 46,042.76 × 30,839.68
  4. Step 4: Simplify right side
    30,943.36x = 1,419,943,984.72
  5. Step 5: Solve for x
    x = 1,419,943,984.72/30,943.36
  6. Step 6: Final answer
    x = 45,888.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.