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Finding the Fourth Proportional to 37,468.98, 56,231.19 and 17,747.58

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Solution

The fourth proportional to 37,468.98, 56,231.19 and 17,747.58 is: 26,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.98 : 56,231.19 = 17,747.58 : x
  2. Step 2: Convert to fraction form
    37,468.98/56,231.19 = 17,747.58/x
  3. Step 3: Cross multiply
    37,468.98x = 56,231.19 × 17,747.58
  4. Step 4: Simplify right side
    37,468.98x = 997,967,543.02
  5. Step 5: Solve for x
    x = 997,967,543.02/37,468.98
  6. Step 6: Final answer
    x = 26,634.50

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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.