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Finding the Fourth Proportional to 31,070.52, 46,571.22 and 12,345.66

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Solution

The fourth proportional to 31,070.52, 46,571.22 and 12,345.66 is: 18,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.52 : 46,571.22 = 12,345.66 : x
  2. Step 2: Convert to fraction form
    31,070.52/46,571.22 = 12,345.66/x
  3. Step 3: Cross multiply
    31,070.52x = 46,571.22 × 12,345.66
  4. Step 4: Simplify right side
    31,070.52x = 574,952,447.91
  5. Step 5: Solve for x
    x = 574,952,447.91/31,070.52
  6. Step 6: Final answer
    x = 18,504.76

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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.