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Finding the Fourth Proportional to 61,461.96, 92,250.33 and 31,900.56

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Solution

The fourth proportional to 61,461.96, 92,250.33 and 31,900.56 is: 47,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461.96 : 92,250.33 = 31,900.56 : x
  2. Step 2: Convert to fraction form
    61,461.96/92,250.33 = 31,900.56/x
  3. Step 3: Cross multiply
    61,461.96x = 92,250.33 × 31,900.56
  4. Step 4: Simplify right side
    61,461.96x = 2,942,837,187.18
  5. Step 5: Solve for x
    x = 2,942,837,187.18/61,461.96
  6. Step 6: Final answer
    x = 47,880.63

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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.