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Finding the Fourth Proportional to 31,188.30, 46,813.98 and 27,653.05

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Solution

The fourth proportional to 31,188.30, 46,813.98 and 27,653.05 is: 41,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,188.30 : 46,813.98 = 27,653.05 : x
  2. Step 2: Convert to fraction form
    31,188.30/46,813.98 = 27,653.05/x
  3. Step 3: Cross multiply
    31,188.30x = 46,813.98 × 27,653.05
  4. Step 4: Simplify right side
    31,188.30x = 1,294,549,491.86
  5. Step 5: Solve for x
    x = 1,294,549,491.86/31,188.30
  6. Step 6: Final answer
    x = 41,507.54

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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.