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Finding the Fourth Proportional to 34,153.57, 51,228.50 and 13,103.71

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Solution

The fourth proportional to 34,153.57, 51,228.50 and 13,103.71 is: 19,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.57 : 51,228.50 = 13,103.71 : x
  2. Step 2: Convert to fraction form
    34,153.57/51,228.50 = 13,103.71/x
  3. Step 3: Cross multiply
    34,153.57x = 51,228.50 × 13,103.71
  4. Step 4: Simplify right side
    34,153.57x = 671,283,342.22
  5. Step 5: Solve for x
    x = 671,283,342.22/34,153.57
  6. Step 6: Final answer
    x = 19,654.85

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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.