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Finding the Fourth Proportional to 35,517.90, 53,301.15 and 19,722.90

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Solution

The fourth proportional to 35,517.90, 53,301.15 and 19,722.90 is: 29,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517.90 : 53,301.15 = 19,722.90 : x
  2. Step 2: Convert to fraction form
    35,517.90/53,301.15 = 19,722.90/x
  3. Step 3: Cross multiply
    35,517.90x = 53,301.15 × 19,722.90
  4. Step 4: Simplify right side
    35,517.90x = 1,051,253,251.34
  5. Step 5: Solve for x
    x = 1,051,253,251.34/35,517.90
  6. Step 6: Final answer
    x = 29,597.84

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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.