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Finding the Fourth Proportional to 37,978.13, 56,962.29 and 11,682.29

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Solution

The fourth proportional to 37,978.13, 56,962.29 and 11,682.29 is: 17,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.13 : 56,962.29 = 11,682.29 : x
  2. Step 2: Convert to fraction form
    37,978.13/56,962.29 = 11,682.29/x
  3. Step 3: Cross multiply
    37,978.13x = 56,962.29 × 11,682.29
  4. Step 4: Simplify right side
    37,978.13x = 665,449,990.84
  5. Step 5: Solve for x
    x = 665,449,990.84/37,978.13
  6. Step 6: Final answer
    x = 17,521.93

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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.