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Finding the Fourth Proportional to 48,681.39, 73,022.54 and 19,102.22

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Solution

The fourth proportional to 48,681.39, 73,022.54 and 19,102.22 is: 28,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681.39 : 73,022.54 = 19,102.22 : x
  2. Step 2: Convert to fraction form
    48,681.39/73,022.54 = 19,102.22/x
  3. Step 3: Cross multiply
    48,681.39x = 73,022.54 × 19,102.22
  4. Step 4: Simplify right side
    48,681.39x = 1,394,892,163.42
  5. Step 5: Solve for x
    x = 1,394,892,163.42/48,681.39
  6. Step 6: Final answer
    x = 28,653.50

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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.