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Finding the Fourth Proportional to 61,453.73, 92,209.29 and 31,855.41

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Solution

The fourth proportional to 61,453.73, 92,209.29 and 31,855.41 is: 47,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,453.73 : 92,209.29 = 31,855.41 : x
  2. Step 2: Convert to fraction form
    61,453.73/92,209.29 = 31,855.41/x
  3. Step 3: Cross multiply
    61,453.73x = 92,209.29 × 31,855.41
  4. Step 4: Simplify right side
    61,453.73x = 2,937,364,738.76
  5. Step 5: Solve for x
    x = 2,937,364,738.76/61,453.73
  6. Step 6: Final answer
    x = 47,797.99

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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.