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Finding the Fourth Proportional to 31,344.40, 47,016.60 and 10,284.40

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Solution

The fourth proportional to 31,344.40, 47,016.60 and 10,284.40 is: 15,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344.40 : 47,016.60 = 10,284.40 : x
  2. Step 2: Convert to fraction form
    31,344.40/47,016.60 = 10,284.40/x
  3. Step 3: Cross multiply
    31,344.40x = 47,016.60 × 10,284.40
  4. Step 4: Simplify right side
    31,344.40x = 483,537,521.04
  5. Step 5: Solve for x
    x = 483,537,521.04/31,344.40
  6. Step 6: Final answer
    x = 15,426.60

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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.