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Finding the Fourth Proportional to 40,754.60, 61,133.34 and 13,049

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Solution

The fourth proportional to 40,754.60, 61,133.34 and 13,049 is: 19,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,754.60 : 61,133.34 = 13,049 : x
  2. Step 2: Convert to fraction form
    40,754.60/61,133.34 = 13,049/x
  3. Step 3: Cross multiply
    40,754.60x = 61,133.34 × 13,049
  4. Step 4: Simplify right side
    40,754.60x = 797,728,953.66
  5. Step 5: Solve for x
    x = 797,728,953.66/40,754.60
  6. Step 6: Final answer
    x = 19,573.96

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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.