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Finding the Fourth Proportional to 31,782.83, 47,674.58 and 9,596.39

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Solution

The fourth proportional to 31,782.83, 47,674.58 and 9,596.39 is: 14,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.83 : 47,674.58 = 9,596.39 : x
  2. Step 2: Convert to fraction form
    31,782.83/47,674.58 = 9,596.39/x
  3. Step 3: Cross multiply
    31,782.83x = 47,674.58 × 9,596.39
  4. Step 4: Simplify right side
    31,782.83x = 457,503,862.77
  5. Step 5: Solve for x
    x = 457,503,862.77/31,782.83
  6. Step 6: Final answer
    x = 14,394.69

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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.