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Finding the Fourth Proportional to 31,013.39, 46,526.22 and 8,827.64

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Solution

The fourth proportional to 31,013.39, 46,526.22 and 8,827.64 is: 13,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.39 : 46,526.22 = 8,827.64 : x
  2. Step 2: Convert to fraction form
    31,013.39/46,526.22 = 8,827.64/x
  3. Step 3: Cross multiply
    31,013.39x = 46,526.22 × 8,827.64
  4. Step 4: Simplify right side
    31,013.39x = 410,716,488.09
  5. Step 5: Solve for x
    x = 410,716,488.09/31,013.39
  6. Step 6: Final answer
    x = 13,243.20

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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.