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Finding the Fourth Proportional to 31,066.57, 46,588.51 and 11,339.29

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Solution

The fourth proportional to 31,066.57, 46,588.51 and 11,339.29 is: 17,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.57 : 46,588.51 = 11,339.29 : x
  2. Step 2: Convert to fraction form
    31,066.57/46,588.51 = 11,339.29/x
  3. Step 3: Cross multiply
    31,066.57x = 46,588.51 × 11,339.29
  4. Step 4: Simplify right side
    31,066.57x = 528,280,625.56
  5. Step 5: Solve for x
    x = 528,280,625.56/31,066.57
  6. Step 6: Final answer
    x = 17,004.79

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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.