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Finding the Fourth Proportional to 37,560.08, 51,829.32 and 22,449.74

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Solution

The fourth proportional to 37,560.08, 51,829.32 and 22,449.74 is: 30,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560.08 : 51,829.32 = 22,449.74 : x
  2. Step 2: Convert to fraction form
    37,560.08/51,829.32 = 22,449.74/x
  3. Step 3: Cross multiply
    37,560.08x = 51,829.32 × 22,449.74
  4. Step 4: Simplify right side
    37,560.08x = 1,163,554,758.38
  5. Step 5: Solve for x
    x = 1,163,554,758.38/37,560.08
  6. Step 6: Final answer
    x = 30,978.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.