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Finding the Fourth Proportional to 31,039.96, 46,523.49 and 14,364.77

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Solution

The fourth proportional to 31,039.96, 46,523.49 and 14,364.77 is: 21,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039.96 : 46,523.49 = 14,364.77 : x
  2. Step 2: Convert to fraction form
    31,039.96/46,523.49 = 14,364.77/x
  3. Step 3: Cross multiply
    31,039.96x = 46,523.49 × 14,364.77
  4. Step 4: Simplify right side
    31,039.96x = 668,299,118.21
  5. Step 5: Solve for x
    x = 668,299,118.21/31,039.96
  6. Step 6: Final answer
    x = 21,530.28

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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.