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Finding the Fourth Proportional to 41,257, 61,911.52 and 17,564.50

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Solution

The fourth proportional to 41,257, 61,911.52 and 17,564.50 is: 26,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257 : 61,911.52 = 17,564.50 : x
  2. Step 2: Convert to fraction form
    41,257/61,911.52 = 17,564.50/x
  3. Step 3: Cross multiply
    41,257x = 61,911.52 × 17,564.50
  4. Step 4: Simplify right side
    41,257x = 1,087,444,893.04
  5. Step 5: Solve for x
    x = 1,087,444,893.04/41,257
  6. Step 6: Final answer
    x = 26,357.83

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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.