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Finding the Fourth Proportional to 39,802.46, 54,935.25 and 22,818.11

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Solution

The fourth proportional to 39,802.46, 54,935.25 and 22,818.11 is: 31,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,802.46 : 54,935.25 = 22,818.11 : x
  2. Step 2: Convert to fraction form
    39,802.46/54,935.25 = 22,818.11/x
  3. Step 3: Cross multiply
    39,802.46x = 54,935.25 × 22,818.11
  4. Step 4: Simplify right side
    39,802.46x = 1,253,518,577.38
  5. Step 5: Solve for x
    x = 1,253,518,577.38/39,802.46
  6. Step 6: Final answer
    x = 31,493.50

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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.