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Finding the Fourth Proportional to 25,153.74, 37,748.88 and 20,282.22

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Solution

The fourth proportional to 25,153.74, 37,748.88 and 20,282.22 is: 30,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.74 : 37,748.88 = 20,282.22 : x
  2. Step 2: Convert to fraction form
    25,153.74/37,748.88 = 20,282.22/x
  3. Step 3: Cross multiply
    25,153.74x = 37,748.88 × 20,282.22
  4. Step 4: Simplify right side
    25,153.74x = 765,631,088.91
  5. Step 5: Solve for x
    x = 765,631,088.91/25,153.74
  6. Step 6: Final answer
    x = 30,438.06

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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.