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Finding the Fourth Proportional to 30,826.38, 42,540.71 and 16,679.53

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Solution

The fourth proportional to 30,826.38, 42,540.71 and 16,679.53 is: 23,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.38 : 42,540.71 = 16,679.53 : x
  2. Step 2: Convert to fraction form
    30,826.38/42,540.71 = 16,679.53/x
  3. Step 3: Cross multiply
    30,826.38x = 42,540.71 × 16,679.53
  4. Step 4: Simplify right side
    30,826.38x = 709,559,048.67
  5. Step 5: Solve for x
    x = 709,559,048.67/30,826.38
  6. Step 6: Final answer
    x = 23,017.92

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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.