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Finding the Fourth Proportional to 49,041.58, 67,675.62 and 27,824.98

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Solution

The fourth proportional to 49,041.58, 67,675.62 and 27,824.98 is: 38,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041.58 : 67,675.62 = 27,824.98 : x
  2. Step 2: Convert to fraction form
    49,041.58/67,675.62 = 27,824.98/x
  3. Step 3: Cross multiply
    49,041.58x = 67,675.62 × 27,824.98
  4. Step 4: Simplify right side
    49,041.58x = 1,883,072,772.99
  5. Step 5: Solve for x
    x = 1,883,072,772.99/49,041.58
  6. Step 6: Final answer
    x = 38,397.47

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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.