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Finding the Fourth Proportional to 25,175.49, 37,770 and 22,421.08

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Solution

The fourth proportional to 25,175.49, 37,770 and 22,421.08 is: 33,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.49 : 37,770 = 22,421.08 : x
  2. Step 2: Convert to fraction form
    25,175.49/37,770 = 22,421.08/x
  3. Step 3: Cross multiply
    25,175.49x = 37,770 × 22,421.08
  4. Step 4: Simplify right side
    25,175.49x = 846,844,191.60
  5. Step 5: Solve for x
    x = 846,844,191.60/25,175.49
  6. Step 6: Final answer
    x = 33,637.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.