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Finding the Fourth Proportional to 32,679.71, 49,019.56 and 22,838.21

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Solution

The fourth proportional to 32,679.71, 49,019.56 and 22,838.21 is: 34,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.71 : 49,019.56 = 22,838.21 : x
  2. Step 2: Convert to fraction form
    32,679.71/49,019.56 = 22,838.21/x
  3. Step 3: Cross multiply
    32,679.71x = 49,019.56 × 22,838.21
  4. Step 4: Simplify right side
    32,679.71x = 1,119,519,062.48
  5. Step 5: Solve for x
    x = 1,119,519,062.48/32,679.71
  6. Step 6: Final answer
    x = 34,257.31

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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.