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Finding the Fourth Proportional to 57,511, 86,266.50 and 15,958

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Solution

The fourth proportional to 57,511, 86,266.50 and 15,958 is: 23,937

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511 : 86,266.50 = 15,958 : x
  2. Step 2: Convert to fraction form
    57,511/86,266.50 = 15,958/x
  3. Step 3: Cross multiply
    57,511x = 86,266.50 × 15,958
  4. Step 4: Simplify right side
    57,511x = 1,376,640,807
  5. Step 5: Solve for x
    x = 1,376,640,807/57,511
  6. Step 6: Final answer
    x = 23,937

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.