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Finding the Fourth Proportional to 57,778, 79,733.76 and 31,282

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Solution

The fourth proportional to 57,778, 79,733.76 and 31,282 is: 43,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778 : 79,733.76 = 31,282 : x
  2. Step 2: Convert to fraction form
    57,778/79,733.76 = 31,282/x
  3. Step 3: Cross multiply
    57,778x = 79,733.76 × 31,282
  4. Step 4: Simplify right side
    57,778x = 2,494,231,480.32
  5. Step 5: Solve for x
    x = 2,494,231,480.32/57,778
  6. Step 6: Final answer
    x = 43,169.22

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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.