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Finding the Fourth Proportional to 31,594.69, 47,391.54 and 9,408.19

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Solution

The fourth proportional to 31,594.69, 47,391.54 and 9,408.19 is: 14,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.69 : 47,391.54 = 9,408.19 : x
  2. Step 2: Convert to fraction form
    31,594.69/47,391.54 = 9,408.19/x
  3. Step 3: Cross multiply
    31,594.69x = 47,391.54 × 9,408.19
  4. Step 4: Simplify right side
    31,594.69x = 445,868,612.71
  5. Step 5: Solve for x
    x = 445,868,612.71/31,594.69
  6. Step 6: Final answer
    x = 14,112.14

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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.