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Finding the Fourth Proportional to 75,252, 103,847.76 and 41,718

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Solution

The fourth proportional to 75,252, 103,847.76 and 41,718 is: 57,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,252 : 103,847.76 = 41,718 : x
  2. Step 2: Convert to fraction form
    75,252/103,847.76 = 41,718/x
  3. Step 3: Cross multiply
    75,252x = 103,847.76 × 41,718
  4. Step 4: Simplify right side
    75,252x = 4,332,320,851.68
  5. Step 5: Solve for x
    x = 4,332,320,851.68/75,252
  6. Step 6: Final answer
    x = 57,570.84

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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.