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Finding the Fourth Proportional to 48,777.68, 73,165.49 and 22,482.42

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Solution

The fourth proportional to 48,777.68, 73,165.49 and 22,482.42 is: 33,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,777.68 : 73,165.49 = 22,482.42 : x
  2. Step 2: Convert to fraction form
    48,777.68/73,165.49 = 22,482.42/x
  3. Step 3: Cross multiply
    48,777.68x = 73,165.49 × 22,482.42
  4. Step 4: Simplify right side
    48,777.68x = 1,644,937,275.69
  5. Step 5: Solve for x
    x = 1,644,937,275.69/48,777.68
  6. Step 6: Final answer
    x = 33,723.16

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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.