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Finding the Fourth Proportional to 31,165.55, 46,748.33 and 7,791.99

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Solution

The fourth proportional to 31,165.55, 46,748.33 and 7,791.99 is: 11,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.55 : 46,748.33 = 7,791.99 : x
  2. Step 2: Convert to fraction form
    31,165.55/46,748.33 = 7,791.99/x
  3. Step 3: Cross multiply
    31,165.55x = 46,748.33 × 7,791.99
  4. Step 4: Simplify right side
    31,165.55x = 364,262,417.61
  5. Step 5: Solve for x
    x = 364,262,417.61/31,165.55
  6. Step 6: Final answer
    x = 11,687.98

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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.