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Finding the Fourth Proportional to 48,642.84, 72,991.62 and 22,349.66

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Solution

The fourth proportional to 48,642.84, 72,991.62 and 22,349.66 is: 33,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.84 : 72,991.62 = 22,349.66 : x
  2. Step 2: Convert to fraction form
    48,642.84/72,991.62 = 22,349.66/x
  3. Step 3: Cross multiply
    48,642.84x = 72,991.62 × 22,349.66
  4. Step 4: Simplify right side
    48,642.84x = 1,631,337,524.89
  5. Step 5: Solve for x
    x = 1,631,337,524.89/48,642.84
  6. Step 6: Final answer
    x = 33,537.05

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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.