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Finding the Fourth Proportional to 64,972.17, 97,418.16 and 25,511.40

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Solution

The fourth proportional to 64,972.17, 97,418.16 and 25,511.40 is: 38,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.17 : 97,418.16 = 25,511.40 : x
  2. Step 2: Convert to fraction form
    64,972.17/97,418.16 = 25,511.40/x
  3. Step 3: Cross multiply
    64,972.17x = 97,418.16 × 25,511.40
  4. Step 4: Simplify right side
    64,972.17x = 2,485,273,647.02
  5. Step 5: Solve for x
    x = 2,485,273,647.02/64,972.17
  6. Step 6: Final answer
    x = 38,251.36

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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.