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Finding the Fourth Proportional to 35,463.40, 48,930.66 and 22,873

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Solution

The fourth proportional to 35,463.40, 48,930.66 and 22,873 is: 31,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,463.40 : 48,930.66 = 22,873 : x
  2. Step 2: Convert to fraction form
    35,463.40/48,930.66 = 22,873/x
  3. Step 3: Cross multiply
    35,463.40x = 48,930.66 × 22,873
  4. Step 4: Simplify right side
    35,463.40x = 1,119,190,986.18
  5. Step 5: Solve for x
    x = 1,119,190,986.18/35,463.40
  6. Step 6: Final answer
    x = 31,559.04

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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.