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Finding the Fourth Proportional to 32,930.05, 45,443.16 and 17,822.38

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Solution

The fourth proportional to 32,930.05, 45,443.16 and 17,822.38 is: 24,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930.05 : 45,443.16 = 17,822.38 : x
  2. Step 2: Convert to fraction form
    32,930.05/45,443.16 = 17,822.38/x
  3. Step 3: Cross multiply
    32,930.05x = 45,443.16 × 17,822.38
  4. Step 4: Simplify right side
    32,930.05x = 809,905,265.92
  5. Step 5: Solve for x
    x = 809,905,265.92/32,930.05
  6. Step 6: Final answer
    x = 24,594.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.