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Finding the Fourth Proportional to 31,032.39, 46,548.69 and 7,658.83

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Solution

The fourth proportional to 31,032.39, 46,548.69 and 7,658.83 is: 11,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.39 : 46,548.69 = 7,658.83 : x
  2. Step 2: Convert to fraction form
    31,032.39/46,548.69 = 7,658.83/x
  3. Step 3: Cross multiply
    31,032.39x = 46,548.69 × 7,658.83
  4. Step 4: Simplify right side
    31,032.39x = 356,508,503.43
  5. Step 5: Solve for x
    x = 356,508,503.43/31,032.39
  6. Step 6: Final answer
    x = 11,488.27

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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.