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Finding the Fourth Proportional to 75,114, 103,658.94 and 41,123.70

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Solution

The fourth proportional to 75,114, 103,658.94 and 41,123.70 is: 56,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 103,658.94 = 41,123.70 : x
  2. Step 2: Convert to fraction form
    75,114/103,658.94 = 41,123.70/x
  3. Step 3: Cross multiply
    75,114x = 103,658.94 × 41,123.70
  4. Step 4: Simplify right side
    75,114x = 4,262,839,150.88
  5. Step 5: Solve for x
    x = 4,262,839,150.88/75,114
  6. Step 6: Final answer
    x = 56,751.59

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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.