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Finding the Fourth Proportional to 31,062.96, 46,589.76 and 11,341.62

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Solution

The fourth proportional to 31,062.96, 46,589.76 and 11,341.62 is: 17,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062.96 : 46,589.76 = 11,341.62 : x
  2. Step 2: Convert to fraction form
    31,062.96/46,589.76 = 11,341.62/x
  3. Step 3: Cross multiply
    31,062.96x = 46,589.76 × 11,341.62
  4. Step 4: Simplify right side
    31,062.96x = 528,403,353.81
  5. Step 5: Solve for x
    x = 528,403,353.81/31,062.96
  6. Step 6: Final answer
    x = 17,010.72

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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.