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Finding the Fourth Proportional to 39,409.04, 54,384.40 and 22,642

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Solution

The fourth proportional to 39,409.04, 54,384.40 and 22,642 is: 31,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409.04 : 54,384.40 = 22,642 : x
  2. Step 2: Convert to fraction form
    39,409.04/54,384.40 = 22,642/x
  3. Step 3: Cross multiply
    39,409.04x = 54,384.40 × 22,642
  4. Step 4: Simplify right side
    39,409.04x = 1,231,371,584.80
  5. Step 5: Solve for x
    x = 1,231,371,584.80/39,409.04
  6. Step 6: Final answer
    x = 31,245.92

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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.