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Finding the Fourth Proportional to 37,863, 56,792.16 and 11,565.36

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Solution

The fourth proportional to 37,863, 56,792.16 and 11,565.36 is: 17,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863 : 56,792.16 = 11,565.36 : x
  2. Step 2: Convert to fraction form
    37,863/56,792.16 = 11,565.36/x
  3. Step 3: Cross multiply
    37,863x = 56,792.16 × 11,565.36
  4. Step 4: Simplify right side
    37,863x = 656,821,775.58
  5. Step 5: Solve for x
    x = 656,821,775.58/37,863
  6. Step 6: Final answer
    x = 17,347.33

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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.