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Finding the Fourth Proportional to 75,228, 103,814.64 and 41,696.16

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Solution

The fourth proportional to 75,228, 103,814.64 and 41,696.16 is: 57,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 103,814.64 = 41,696.16 : x
  2. Step 2: Convert to fraction form
    75,228/103,814.64 = 41,696.16/x
  3. Step 3: Cross multiply
    75,228x = 103,814.64 × 41,696.16
  4. Step 4: Simplify right side
    75,228x = 4,328,671,839.78
  5. Step 5: Solve for x
    x = 4,328,671,839.78/75,228
  6. Step 6: Final answer
    x = 57,540.70

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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.