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Finding the Fourth Proportional to 34,196.52, 51,301.40 and 13,135

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Solution

The fourth proportional to 34,196.52, 51,301.40 and 13,135 is: 19,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.52 : 51,301.40 = 13,135 : x
  2. Step 2: Convert to fraction form
    34,196.52/51,301.40 = 13,135/x
  3. Step 3: Cross multiply
    34,196.52x = 51,301.40 × 13,135
  4. Step 4: Simplify right side
    34,196.52x = 673,843,889
  5. Step 5: Solve for x
    x = 673,843,889/34,196.52
  6. Step 6: Final answer
    x = 19,705.04

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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.