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Finding the Fourth Proportional to 31,000.19, 46,493.28 and 8,813.08

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Solution

The fourth proportional to 31,000.19, 46,493.28 and 8,813.08 is: 13,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.19 : 46,493.28 = 8,813.08 : x
  2. Step 2: Convert to fraction form
    31,000.19/46,493.28 = 8,813.08/x
  3. Step 3: Cross multiply
    31,000.19x = 46,493.28 × 8,813.08
  4. Step 4: Simplify right side
    31,000.19x = 409,748,763.64
  5. Step 5: Solve for x
    x = 409,748,763.64/31,000.19
  6. Step 6: Final answer
    x = 13,217.62

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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.