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Finding the Fourth Proportional to 31,366.90, 47,049.75 and 12,646.51

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Solution

The fourth proportional to 31,366.90, 47,049.75 and 12,646.51 is: 18,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,366.90 : 47,049.75 = 12,646.51 : x
  2. Step 2: Convert to fraction form
    31,366.90/47,049.75 = 12,646.51/x
  3. Step 3: Cross multiply
    31,366.90x = 47,049.75 × 12,646.51
  4. Step 4: Simplify right side
    31,366.90x = 595,015,133.87
  5. Step 5: Solve for x
    x = 595,015,133.87/31,366.90
  6. Step 6: Final answer
    x = 18,969.52

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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.