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Finding the Fourth Proportional to 75,329.80, 103,955.10 and 41,795.80

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Solution

The fourth proportional to 75,329.80, 103,955.10 and 41,795.80 is: 57,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,329.80 : 103,955.10 = 41,795.80 : x
  2. Step 2: Convert to fraction form
    75,329.80/103,955.10 = 41,795.80/x
  3. Step 3: Cross multiply
    75,329.80x = 103,955.10 × 41,795.80
  4. Step 4: Simplify right side
    75,329.80x = 4,344,886,568.58
  5. Step 5: Solve for x
    x = 4,344,886,568.58/75,329.80
  6. Step 6: Final answer
    x = 57,678.19

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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.