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Finding the Fourth Proportional to 39,282.36, 54,209.34 and 22,515

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Solution

The fourth proportional to 39,282.36, 54,209.34 and 22,515 is: 31,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,282.36 : 54,209.34 = 22,515 : x
  2. Step 2: Convert to fraction form
    39,282.36/54,209.34 = 22,515/x
  3. Step 3: Cross multiply
    39,282.36x = 54,209.34 × 22,515
  4. Step 4: Simplify right side
    39,282.36x = 1,220,523,290.10
  5. Step 5: Solve for x
    x = 1,220,523,290.10/39,282.36
  6. Step 6: Final answer
    x = 31,070.52

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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.