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Finding the Fourth Proportional to 61,282.46, 91,880.81 and 31,305.98

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Solution

The fourth proportional to 61,282.46, 91,880.81 and 31,305.98 is: 46,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,282.46 : 91,880.81 = 31,305.98 : x
  2. Step 2: Convert to fraction form
    61,282.46/91,880.81 = 31,305.98/x
  3. Step 3: Cross multiply
    61,282.46x = 91,880.81 × 31,305.98
  4. Step 4: Simplify right side
    61,282.46x = 2,876,418,800.24
  5. Step 5: Solve for x
    x = 2,876,418,800.24/61,282.46
  6. Step 6: Final answer
    x = 46,937.06

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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.