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Finding the Fourth Proportional to 31,521.42, 47,289.04 and 9,336.51

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Solution

The fourth proportional to 31,521.42, 47,289.04 and 9,336.51 is: 14,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,521.42 : 47,289.04 = 9,336.51 : x
  2. Step 2: Convert to fraction form
    31,521.42/47,289.04 = 9,336.51/x
  3. Step 3: Cross multiply
    31,521.42x = 47,289.04 × 9,336.51
  4. Step 4: Simplify right side
    31,521.42x = 441,514,571.51
  5. Step 5: Solve for x
    x = 441,514,571.51/31,521.42
  6. Step 6: Final answer
    x = 14,006.81

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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.