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Finding the Fourth Proportional to 34,827.87, 48,057.80 and 22,243.71

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Solution

The fourth proportional to 34,827.87, 48,057.80 and 22,243.71 is: 30,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,827.87 : 48,057.80 = 22,243.71 : x
  2. Step 2: Convert to fraction form
    34,827.87/48,057.80 = 22,243.71/x
  3. Step 3: Cross multiply
    34,827.87x = 48,057.80 × 22,243.71
  4. Step 4: Simplify right side
    34,827.87x = 1,068,983,655.22
  5. Step 5: Solve for x
    x = 1,068,983,655.22/34,827.87
  6. Step 6: Final answer
    x = 30,693.34

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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.