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Finding the Fourth Proportional to 30,671.84, 42,323.02 and 17,240.42

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Solution

The fourth proportional to 30,671.84, 42,323.02 and 17,240.42 is: 23,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.84 : 42,323.02 = 17,240.42 : x
  2. Step 2: Convert to fraction form
    30,671.84/42,323.02 = 17,240.42/x
  3. Step 3: Cross multiply
    30,671.84x = 42,323.02 × 17,240.42
  4. Step 4: Simplify right side
    30,671.84x = 729,666,385.75
  5. Step 5: Solve for x
    x = 729,666,385.75/30,671.84
  6. Step 6: Final answer
    x = 23,789.46

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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.