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Finding the Fourth Proportional to 52,619.82, 72,616.77 and 31,411.38

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Solution

The fourth proportional to 52,619.82, 72,616.77 and 31,411.38 is: 43,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,619.82 : 72,616.77 = 31,411.38 : x
  2. Step 2: Convert to fraction form
    52,619.82/72,616.77 = 31,411.38/x
  3. Step 3: Cross multiply
    52,619.82x = 72,616.77 × 31,411.38
  4. Step 4: Simplify right side
    52,619.82x = 2,280,992,956.84
  5. Step 5: Solve for x
    x = 2,280,992,956.84/52,619.82
  6. Step 6: Final answer
    x = 43,348.55

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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.