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Finding the Fourth Proportional to 31,494.60, 47,249.66 and 9,307.89

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Solution

The fourth proportional to 31,494.60, 47,249.66 and 9,307.89 is: 13,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.60 : 47,249.66 = 9,307.89 : x
  2. Step 2: Convert to fraction form
    31,494.60/47,249.66 = 9,307.89/x
  3. Step 3: Cross multiply
    31,494.60x = 47,249.66 × 9,307.89
  4. Step 4: Simplify right side
    31,494.60x = 439,794,637.82
  5. Step 5: Solve for x
    x = 439,794,637.82/31,494.60
  6. Step 6: Final answer
    x = 13,964.13

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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.