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Finding the Fourth Proportional to 35,477.78, 53,217.80 and 13,286.94

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Solution

The fourth proportional to 35,477.78, 53,217.80 and 13,286.94 is: 19,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.78 : 53,217.80 = 13,286.94 : x
  2. Step 2: Convert to fraction form
    35,477.78/53,217.80 = 13,286.94/x
  3. Step 3: Cross multiply
    35,477.78x = 53,217.80 × 13,286.94
  4. Step 4: Simplify right side
    35,477.78x = 707,101,715.53
  5. Step 5: Solve for x
    x = 707,101,715.53/35,477.78
  6. Step 6: Final answer
    x = 19,930.83

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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.