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Finding the Fourth Proportional to 34,477.89, 51,715.80 and 9,519.46

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Solution

The fourth proportional to 34,477.89, 51,715.80 and 9,519.46 is: 14,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.89 : 51,715.80 = 9,519.46 : x
  2. Step 2: Convert to fraction form
    34,477.89/51,715.80 = 9,519.46/x
  3. Step 3: Cross multiply
    34,477.89x = 51,715.80 × 9,519.46
  4. Step 4: Simplify right side
    34,477.89x = 492,306,489.47
  5. Step 5: Solve for x
    x = 492,306,489.47/34,477.89
  6. Step 6: Final answer
    x = 14,278.90

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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.