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Finding the Fourth Proportional to 25,872.40, 35,752.32 and 22,042

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Solution

The fourth proportional to 25,872.40, 35,752.32 and 22,042 is: 30,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.40 : 35,752.32 = 22,042 : x
  2. Step 2: Convert to fraction form
    25,872.40/35,752.32 = 22,042/x
  3. Step 3: Cross multiply
    25,872.40x = 35,752.32 × 22,042
  4. Step 4: Simplify right side
    25,872.40x = 788,052,637.44
  5. Step 5: Solve for x
    x = 788,052,637.44/25,872.40
  6. Step 6: Final answer
    x = 30,459.20

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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.