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Finding the Fourth Proportional to 31,528.40, 47,292.40 and 9,341.90

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Solution

The fourth proportional to 31,528.40, 47,292.40 and 9,341.90 is: 14,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528.40 : 47,292.40 = 9,341.90 : x
  2. Step 2: Convert to fraction form
    31,528.40/47,292.40 = 9,341.90/x
  3. Step 3: Cross multiply
    31,528.40x = 47,292.40 × 9,341.90
  4. Step 4: Simplify right side
    31,528.40x = 441,800,588.39
  5. Step 5: Solve for x
    x = 441,800,588.39/31,528.40
  6. Step 6: Final answer
    x = 14,012.78

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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.