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Finding the Fourth Proportional to 51,893, 77,857.88 and 25,616.20

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Solution

The fourth proportional to 51,893, 77,857.88 and 25,616.20 is: 38,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893 : 77,857.88 = 25,616.20 : x
  2. Step 2: Convert to fraction form
    51,893/77,857.88 = 25,616.20/x
  3. Step 3: Cross multiply
    51,893x = 77,857.88 × 25,616.20
  4. Step 4: Simplify right side
    51,893x = 1,994,423,025.66
  5. Step 5: Solve for x
    x = 1,994,423,025.66/51,893
  6. Step 6: Final answer
    x = 38,433.37

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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.