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Finding the Fourth Proportional to 31,153, 42,991.18 and 19,975

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Solution

The fourth proportional to 31,153, 42,991.18 and 19,975 is: 27,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153 : 42,991.18 = 19,975 : x
  2. Step 2: Convert to fraction form
    31,153/42,991.18 = 19,975/x
  3. Step 3: Cross multiply
    31,153x = 42,991.18 × 19,975
  4. Step 4: Simplify right side
    31,153x = 858,748,820.50
  5. Step 5: Solve for x
    x = 858,748,820.50/31,153
  6. Step 6: Final answer
    x = 27,565.53

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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.