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Finding the Fourth Proportional to 31,430.84, 43,108.81 and 27,887.90

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Solution

The fourth proportional to 31,430.84, 43,108.81 and 27,887.90 is: 38,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.84 : 43,108.81 = 27,887.90 : x
  2. Step 2: Convert to fraction form
    31,430.84/43,108.81 = 27,887.90/x
  3. Step 3: Cross multiply
    31,430.84x = 43,108.81 × 27,887.90
  4. Step 4: Simplify right side
    31,430.84x = 1,202,213,897.14
  5. Step 5: Solve for x
    x = 1,202,213,897.14/31,430.84
  6. Step 6: Final answer
    x = 38,249.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.