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Finding the Fourth Proportional to 39,283.40, 54,209.96 and 21,378

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Solution

The fourth proportional to 39,283.40, 54,209.96 and 21,378 is: 29,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,283.40 : 54,209.96 = 21,378 : x
  2. Step 2: Convert to fraction form
    39,283.40/54,209.96 = 21,378/x
  3. Step 3: Cross multiply
    39,283.40x = 54,209.96 × 21,378
  4. Step 4: Simplify right side
    39,283.40x = 1,158,900,524.88
  5. Step 5: Solve for x
    x = 1,158,900,524.88/39,283.40
  6. Step 6: Final answer
    x = 29,501.02

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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.