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Finding the Fourth Proportional to 37,894.69, 56,824.76 and 18,182.53

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Solution

The fourth proportional to 37,894.69, 56,824.76 and 18,182.53 is: 27,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.69 : 56,824.76 = 18,182.53 : x
  2. Step 2: Convert to fraction form
    37,894.69/56,824.76 = 18,182.53/x
  3. Step 3: Cross multiply
    37,894.69x = 56,824.76 × 18,182.53
  4. Step 4: Simplify right side
    37,894.69x = 1,033,217,812.53
  5. Step 5: Solve for x
    x = 1,033,217,812.53/37,894.69
  6. Step 6: Final answer
    x = 27,265.50

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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.