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Finding the Fourth Proportional to 50,965.74, 70,343.07 and 29,456.40

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Solution

The fourth proportional to 50,965.74, 70,343.07 and 29,456.40 is: 40,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965.74 : 70,343.07 = 29,456.40 : x
  2. Step 2: Convert to fraction form
    50,965.74/70,343.07 = 29,456.40/x
  3. Step 3: Cross multiply
    50,965.74x = 70,343.07 × 29,456.40
  4. Step 4: Simplify right side
    50,965.74x = 2,072,053,607.15
  5. Step 5: Solve for x
    x = 2,072,053,607.15/50,965.74
  6. Step 6: Final answer
    x = 40,655.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.