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Finding the Fourth Proportional to 31,224.30, 46,808.01 and 11,489.10

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Solution

The fourth proportional to 31,224.30, 46,808.01 and 11,489.10 is: 17,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.30 : 46,808.01 = 11,489.10 : x
  2. Step 2: Convert to fraction form
    31,224.30/46,808.01 = 11,489.10/x
  3. Step 3: Cross multiply
    31,224.30x = 46,808.01 × 11,489.10
  4. Step 4: Simplify right side
    31,224.30x = 537,781,907.69
  5. Step 5: Solve for x
    x = 537,781,907.69/31,224.30
  6. Step 6: Final answer
    x = 17,223.19

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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.