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Finding the Fourth Proportional to 34,868.39, 52,302.96 and 13,813.56

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Solution

The fourth proportional to 34,868.39, 52,302.96 and 13,813.56 is: 20,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,868.39 : 52,302.96 = 13,813.56 : x
  2. Step 2: Convert to fraction form
    34,868.39/52,302.96 = 13,813.56/x
  3. Step 3: Cross multiply
    34,868.39x = 52,302.96 × 13,813.56
  4. Step 4: Simplify right side
    34,868.39x = 722,490,141.52
  5. Step 5: Solve for x
    x = 722,490,141.52/34,868.39
  6. Step 6: Final answer
    x = 20,720.49

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Why These Related Problems?

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