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Finding the Fourth Proportional to 51,638, 77,461.32 and 20,473.52

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Solution

The fourth proportional to 51,638, 77,461.32 and 20,473.52 is: 30,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,638 : 77,461.32 = 20,473.52 : x
  2. Step 2: Convert to fraction form
    51,638/77,461.32 = 20,473.52/x
  3. Step 3: Cross multiply
    51,638x = 77,461.32 × 20,473.52
  4. Step 4: Simplify right side
    51,638x = 1,585,905,884.25
  5. Step 5: Solve for x
    x = 1,585,905,884.25/51,638
  6. Step 6: Final answer
    x = 30,711.99

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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.