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Finding the Fourth Proportional to 50,924.66, 70,284.50 and 29,703.94

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Solution

The fourth proportional to 50,924.66, 70,284.50 and 29,703.94 is: 40,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,924.66 : 70,284.50 = 29,703.94 : x
  2. Step 2: Convert to fraction form
    50,924.66/70,284.50 = 29,703.94/x
  3. Step 3: Cross multiply
    50,924.66x = 70,284.50 × 29,703.94
  4. Step 4: Simplify right side
    50,924.66x = 2,087,726,570.93
  5. Step 5: Solve for x
    x = 2,087,726,570.93/50,924.66
  6. Step 6: Final answer
    x = 40,996.38

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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.