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Finding the Fourth Proportional to 30,942.86, 42,702.12 and 17,513.87

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Solution

The fourth proportional to 30,942.86, 42,702.12 and 17,513.87 is: 24,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.86 : 42,702.12 = 17,513.87 : x
  2. Step 2: Convert to fraction form
    30,942.86/42,702.12 = 17,513.87/x
  3. Step 3: Cross multiply
    30,942.86x = 42,702.12 × 17,513.87
  4. Step 4: Simplify right side
    30,942.86x = 747,879,164.89
  5. Step 5: Solve for x
    x = 747,879,164.89/30,942.86
  6. Step 6: Final answer
    x = 24,169.69

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