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Finding the Fourth Proportional to 75,115.79, 103,661.02 and 41,123.71

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Solution

The fourth proportional to 75,115.79, 103,661.02 and 41,123.71 is: 56,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.79 : 103,661.02 = 41,123.71 : x
  2. Step 2: Convert to fraction form
    75,115.79/103,661.02 = 41,123.71/x
  3. Step 3: Cross multiply
    75,115.79x = 103,661.02 × 41,123.71
  4. Step 4: Simplify right side
    75,115.79x = 4,262,925,382.90
  5. Step 5: Solve for x
    x = 4,262,925,382.90/75,115.79
  6. Step 6: Final answer
    x = 56,751.39

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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.