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Finding the Fourth Proportional to 31,430.40, 47,139.84 and 12,709.44

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Solution

The fourth proportional to 31,430.40, 47,139.84 and 12,709.44 is: 19,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.40 : 47,139.84 = 12,709.44 : x
  2. Step 2: Convert to fraction form
    31,430.40/47,139.84 = 12,709.44/x
  3. Step 3: Cross multiply
    31,430.40x = 47,139.84 × 12,709.44
  4. Step 4: Simplify right side
    31,430.40x = 599,120,968.09
  5. Step 5: Solve for x
    x = 599,120,968.09/31,430.40
  6. Step 6: Final answer
    x = 19,061.83

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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.