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Finding the Fourth Proportional to 34,715.14, 52,072.70 and 8,419.88

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Solution

The fourth proportional to 34,715.14, 52,072.70 and 8,419.88 is: 12,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.14 : 52,072.70 = 8,419.88 : x
  2. Step 2: Convert to fraction form
    34,715.14/52,072.70 = 8,419.88/x
  3. Step 3: Cross multiply
    34,715.14x = 52,072.70 × 8,419.88
  4. Step 4: Simplify right side
    34,715.14x = 438,445,885.28
  5. Step 5: Solve for x
    x = 438,445,885.28/34,715.14
  6. Step 6: Final answer
    x = 12,629.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.