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Finding the Fourth Proportional to 31,124.83, 46,687.22 and 11,404.93

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Solution

The fourth proportional to 31,124.83, 46,687.22 and 11,404.93 is: 17,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.83 : 46,687.22 = 11,404.93 : x
  2. Step 2: Convert to fraction form
    31,124.83/46,687.22 = 11,404.93/x
  3. Step 3: Cross multiply
    31,124.83x = 46,687.22 × 11,404.93
  4. Step 4: Simplify right side
    31,124.83x = 532,464,475.99
  5. Step 5: Solve for x
    x = 532,464,475.99/31,124.83
  6. Step 6: Final answer
    x = 17,107.39

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