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Finding the Fourth Proportional to 31,249.09, 43,113 and 17,810.65

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Solution

The fourth proportional to 31,249.09, 43,113 and 17,810.65 is: 24,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.09 : 43,113 = 17,810.65 : x
  2. Step 2: Convert to fraction form
    31,249.09/43,113 = 17,810.65/x
  3. Step 3: Cross multiply
    31,249.09x = 43,113 × 17,810.65
  4. Step 4: Simplify right side
    31,249.09x = 767,870,553.45
  5. Step 5: Solve for x
    x = 767,870,553.45/31,249.09
  6. Step 6: Final answer
    x = 24,572.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.