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Finding the Fourth Proportional to 48,665, 73,002.18 and 22,377.08

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Solution

The fourth proportional to 48,665, 73,002.18 and 22,377.08 is: 33,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,665 : 73,002.18 = 22,377.08 : x
  2. Step 2: Convert to fraction form
    48,665/73,002.18 = 22,377.08/x
  3. Step 3: Cross multiply
    48,665x = 73,002.18 × 22,377.08
  4. Step 4: Simplify right side
    48,665x = 1,633,575,622.03
  5. Step 5: Solve for x
    x = 1,633,575,622.03/48,665
  6. Step 6: Final answer
    x = 33,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.