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Finding the Fourth Proportional to 39,470, 59,175.84 and 23,884.16

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Solution

The fourth proportional to 39,470, 59,175.84 and 23,884.16 is: 35,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,470 : 59,175.84 = 23,884.16 : x
  2. Step 2: Convert to fraction form
    39,470/59,175.84 = 23,884.16/x
  3. Step 3: Cross multiply
    39,470x = 59,175.84 × 23,884.16
  4. Step 4: Simplify right side
    39,470x = 1,413,365,230.69
  5. Step 5: Solve for x
    x = 1,413,365,230.69/39,470
  6. Step 6: Final answer
    x = 35,808.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.