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Finding the Fourth Proportional to 31,544.49, 47,308.66 and 9,352.68

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Solution

The fourth proportional to 31,544.49, 47,308.66 and 9,352.68 is: 14,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.49 : 47,308.66 = 9,352.68 : x
  2. Step 2: Convert to fraction form
    31,544.49/47,308.66 = 9,352.68/x
  3. Step 3: Cross multiply
    31,544.49x = 47,308.66 × 9,352.68
  4. Step 4: Simplify right side
    31,544.49x = 442,462,758.21
  5. Step 5: Solve for x
    x = 442,462,758.21/31,544.49
  6. Step 6: Final answer
    x = 14,026.63

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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.