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Finding the Fourth Proportional to 32,443.14, 48,672.81 and 9,069.39

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Solution

The fourth proportional to 32,443.14, 48,672.81 and 9,069.39 is: 13,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.14 : 48,672.81 = 9,069.39 : x
  2. Step 2: Convert to fraction form
    32,443.14/48,672.81 = 9,069.39/x
  3. Step 3: Cross multiply
    32,443.14x = 48,672.81 × 9,069.39
  4. Step 4: Simplify right side
    32,443.14x = 441,432,696.29
  5. Step 5: Solve for x
    x = 441,432,696.29/32,443.14
  6. Step 6: Final answer
    x = 13,606.35

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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.