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Finding the Fourth Proportional to 75,684.84, 104,443.84 and 41,696.56

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Solution

The fourth proportional to 75,684.84, 104,443.84 and 41,696.56 is: 57,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684.84 : 104,443.84 = 41,696.56 : x
  2. Step 2: Convert to fraction form
    75,684.84/104,443.84 = 41,696.56/x
  3. Step 3: Cross multiply
    75,684.84x = 104,443.84 × 41,696.56
  4. Step 4: Simplify right side
    75,684.84x = 4,354,948,841.19
  5. Step 5: Solve for x
    x = 4,354,948,841.19/75,684.84
  6. Step 6: Final answer
    x = 57,540.57

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1.5x scale

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.