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Finding the Fourth Proportional to 31,000.69, 46,494.03 and 8,813.58

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Solution

The fourth proportional to 31,000.69, 46,494.03 and 8,813.58 is: 13,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.69 : 46,494.03 = 8,813.58 : x
  2. Step 2: Convert to fraction form
    31,000.69/46,494.03 = 8,813.58/x
  3. Step 3: Cross multiply
    31,000.69x = 46,494.03 × 8,813.58
  4. Step 4: Simplify right side
    31,000.69x = 409,778,852.93
  5. Step 5: Solve for x
    x = 409,778,852.93/31,000.69
  6. Step 6: Final answer
    x = 13,218.38

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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.