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Finding the Fourth Proportional to 31,869.40, 47,804.10 and 9,682.70

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Solution

The fourth proportional to 31,869.40, 47,804.10 and 9,682.70 is: 14,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.40 : 47,804.10 = 9,682.70 : x
  2. Step 2: Convert to fraction form
    31,869.40/47,804.10 = 9,682.70/x
  3. Step 3: Cross multiply
    31,869.40x = 47,804.10 × 9,682.70
  4. Step 4: Simplify right side
    31,869.40x = 462,872,759.07
  5. Step 5: Solve for x
    x = 462,872,759.07/31,869.40
  6. Step 6: Final answer
    x = 14,524.05

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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.