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Finding the Fourth Proportional to 27,046.86, 40,573.71 and 9,280.98

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Solution

The fourth proportional to 27,046.86, 40,573.71 and 9,280.98 is: 13,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.86 : 40,573.71 = 9,280.98 : x
  2. Step 2: Convert to fraction form
    27,046.86/40,573.71 = 9,280.98/x
  3. Step 3: Cross multiply
    27,046.86x = 40,573.71 × 9,280.98
  4. Step 4: Simplify right side
    27,046.86x = 376,563,791.04
  5. Step 5: Solve for x
    x = 376,563,791.04/27,046.86
  6. Step 6: Final answer
    x = 13,922.64

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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.