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Finding the Fourth Proportional to 61,701, 85,142.71 and 34,839.78

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Solution

The fourth proportional to 61,701, 85,142.71 and 34,839.78 is: 48,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701 : 85,142.71 = 34,839.78 : x
  2. Step 2: Convert to fraction form
    61,701/85,142.71 = 34,839.78/x
  3. Step 3: Cross multiply
    61,701x = 85,142.71 × 34,839.78
  4. Step 4: Simplify right side
    61,701x = 2,966,353,285.00
  5. Step 5: Solve for x
    x = 2,966,353,285.00/61,701
  6. Step 6: Final answer
    x = 48,076.26

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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.