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Finding the Fourth Proportional to 51,658.74, 77,389.29 and 34,936.62

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Solution

The fourth proportional to 51,658.74, 77,389.29 and 34,936.62 is: 52,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658.74 : 77,389.29 = 34,936.62 : x
  2. Step 2: Convert to fraction form
    51,658.74/77,389.29 = 34,936.62/x
  3. Step 3: Cross multiply
    51,658.74x = 77,389.29 × 34,936.62
  4. Step 4: Simplify right side
    51,658.74x = 2,703,720,216.80
  5. Step 5: Solve for x
    x = 2,703,720,216.80/51,658.74
  6. Step 6: Final answer
    x = 52,338.10

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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.