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Finding the Fourth Proportional to 31,327.39, 46,994.52 and 9,144.39

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Solution

The fourth proportional to 31,327.39, 46,994.52 and 9,144.39 is: 13,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,327.39 : 46,994.52 = 9,144.39 : x
  2. Step 2: Convert to fraction form
    31,327.39/46,994.52 = 9,144.39/x
  3. Step 3: Cross multiply
    31,327.39x = 46,994.52 × 9,144.39
  4. Step 4: Simplify right side
    31,327.39x = 429,736,218.74
  5. Step 5: Solve for x
    x = 429,736,218.74/31,327.39
  6. Step 6: Final answer
    x = 13,717.59

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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.