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Finding the Fourth Proportional to 37,999.48, 56,992.56 and 10,291

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Solution

The fourth proportional to 37,999.48, 56,992.56 and 10,291 is: 15,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.48 : 56,992.56 = 10,291 : x
  2. Step 2: Convert to fraction form
    37,999.48/56,992.56 = 10,291/x
  3. Step 3: Cross multiply
    37,999.48x = 56,992.56 × 10,291
  4. Step 4: Simplify right side
    37,999.48x = 586,510,434.96
  5. Step 5: Solve for x
    x = 586,510,434.96/37,999.48
  6. Step 6: Final answer
    x = 15,434.70

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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.