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Finding the Fourth Proportional to 30,434.67, 42,000.05 and 17,006.49

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Solution

The fourth proportional to 30,434.67, 42,000.05 and 17,006.49 is: 23,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.67 : 42,000.05 = 17,006.49 : x
  2. Step 2: Convert to fraction form
    30,434.67/42,000.05 = 17,006.49/x
  3. Step 3: Cross multiply
    30,434.67x = 42,000.05 × 17,006.49
  4. Step 4: Simplify right side
    30,434.67x = 714,273,472.84
  5. Step 5: Solve for x
    x = 714,273,472.84/30,434.67
  6. Step 6: Final answer
    x = 23,469.07

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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.