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Finding the Fourth Proportional to 27,590.50, 41,397.90 and 9,122.50

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Solution

The fourth proportional to 27,590.50, 41,397.90 and 9,122.50 is: 13,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590.50 : 41,397.90 = 9,122.50 : x
  2. Step 2: Convert to fraction form
    27,590.50/41,397.90 = 9,122.50/x
  3. Step 3: Cross multiply
    27,590.50x = 41,397.90 × 9,122.50
  4. Step 4: Simplify right side
    27,590.50x = 377,652,342.75
  5. Step 5: Solve for x
    x = 377,652,342.75/27,590.50
  6. Step 6: Final answer
    x = 13,687.77

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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.