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Finding the Fourth Proportional to 39,894.82, 59,371.31 and 38,566

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Solution

The fourth proportional to 39,894.82, 59,371.31 and 38,566 is: 57,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,894.82 : 59,371.31 = 38,566 : x
  2. Step 2: Convert to fraction form
    39,894.82/59,371.31 = 38,566/x
  3. Step 3: Cross multiply
    39,894.82x = 59,371.31 × 38,566
  4. Step 4: Simplify right side
    39,894.82x = 2,289,713,941.46
  5. Step 5: Solve for x
    x = 2,289,713,941.46/39,894.82
  6. Step 6: Final answer
    x = 57,393.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.