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Finding the Fourth Proportional to 31,415.50, 47,144.85 and 12,947.50

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Solution

The fourth proportional to 31,415.50, 47,144.85 and 12,947.50 is: 19,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.50 : 47,144.85 = 12,947.50 : x
  2. Step 2: Convert to fraction form
    31,415.50/47,144.85 = 12,947.50/x
  3. Step 3: Cross multiply
    31,415.50x = 47,144.85 × 12,947.50
  4. Step 4: Simplify right side
    31,415.50x = 610,407,945.38
  5. Step 5: Solve for x
    x = 610,407,945.38/31,415.50
  6. Step 6: Final answer
    x = 19,430.15

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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.