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Finding the Fourth Proportional to 50,900.30, 70,196.42 and 31,781.84

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Solution

The fourth proportional to 50,900.30, 70,196.42 and 31,781.84 is: 43,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,900.30 : 70,196.42 = 31,781.84 : x
  2. Step 2: Convert to fraction form
    50,900.30/70,196.42 = 31,781.84/x
  3. Step 3: Cross multiply
    50,900.30x = 70,196.42 × 31,781.84
  4. Step 4: Simplify right side
    50,900.30x = 2,230,971,389.01
  5. Step 5: Solve for x
    x = 2,230,971,389.01/50,900.30
  6. Step 6: Final answer
    x = 43,830.22

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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.