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Finding the Fourth Proportional to 31,462.39, 47,209.97 and 12,756.25

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Solution

The fourth proportional to 31,462.39, 47,209.97 and 12,756.25 is: 19,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.39 : 47,209.97 = 12,756.25 : x
  2. Step 2: Convert to fraction form
    31,462.39/47,209.97 = 12,756.25/x
  3. Step 3: Cross multiply
    31,462.39x = 47,209.97 × 12,756.25
  4. Step 4: Simplify right side
    31,462.39x = 602,222,179.81
  5. Step 5: Solve for x
    x = 602,222,179.81/31,462.39
  6. Step 6: Final answer
    x = 19,141.02

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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.