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Finding the Fourth Proportional to 31,338.40, 47,006.96 and 12,870.56

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Solution

The fourth proportional to 31,338.40, 47,006.96 and 12,870.56 is: 19,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338.40 : 47,006.96 = 12,870.56 : x
  2. Step 2: Convert to fraction form
    31,338.40/47,006.96 = 12,870.56/x
  3. Step 3: Cross multiply
    31,338.40x = 47,006.96 × 12,870.56
  4. Step 4: Simplify right side
    31,338.40x = 605,005,899.10
  5. Step 5: Solve for x
    x = 605,005,899.10/31,338.40
  6. Step 6: Final answer
    x = 19,305.58

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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.