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Finding the Fourth Proportional to 37,812.69, 56,719.08 and 11,517.66

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Solution

The fourth proportional to 37,812.69, 56,719.08 and 11,517.66 is: 17,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812.69 : 56,719.08 = 11,517.66 : x
  2. Step 2: Convert to fraction form
    37,812.69/56,719.08 = 11,517.66/x
  3. Step 3: Cross multiply
    37,812.69x = 56,719.08 × 11,517.66
  4. Step 4: Simplify right side
    37,812.69x = 653,271,078.95
  5. Step 5: Solve for x
    x = 653,271,078.95/37,812.69
  6. Step 6: Final answer
    x = 17,276.50

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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.