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Finding the Fourth Proportional to 30,830.10, 42,545.09 and 17,218

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Solution

The fourth proportional to 30,830.10, 42,545.09 and 17,218 is: 23,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.10 : 42,545.09 = 17,218 : x
  2. Step 2: Convert to fraction form
    30,830.10/42,545.09 = 17,218/x
  3. Step 3: Cross multiply
    30,830.10x = 42,545.09 × 17,218
  4. Step 4: Simplify right side
    30,830.10x = 732,541,359.62
  5. Step 5: Solve for x
    x = 732,541,359.62/30,830.10
  6. Step 6: Final answer
    x = 23,760.59

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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.