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Finding the Fourth Proportional to 48,802.68, 73,231.68 and 22,507.42

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Solution

The fourth proportional to 48,802.68, 73,231.68 and 22,507.42 is: 33,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802.68 : 73,231.68 = 22,507.42 : x
  2. Step 2: Convert to fraction form
    48,802.68/73,231.68 = 22,507.42/x
  3. Step 3: Cross multiply
    48,802.68x = 73,231.68 × 22,507.42
  4. Step 4: Simplify right side
    48,802.68x = 1,648,256,179.07
  5. Step 5: Solve for x
    x = 1,648,256,179.07/48,802.68
  6. Step 6: Final answer
    x = 33,773.89

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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.