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Finding the Fourth Proportional to 25,083.47, 37,672.02 and 22,082.57

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Solution

The fourth proportional to 25,083.47, 37,672.02 and 22,082.57 is: 33,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083.47 : 37,672.02 = 22,082.57 : x
  2. Step 2: Convert to fraction form
    25,083.47/37,672.02 = 22,082.57/x
  3. Step 3: Cross multiply
    25,083.47x = 37,672.02 × 22,082.57
  4. Step 4: Simplify right side
    25,083.47x = 831,895,018.69
  5. Step 5: Solve for x
    x = 831,895,018.69/25,083.47
  6. Step 6: Final answer
    x = 33,165.07

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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.