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Finding the Fourth Proportional to 31,415.50, 47,123.25 and 8,041.94

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Solution

The fourth proportional to 31,415.50, 47,123.25 and 8,041.94 is: 12,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.50 : 47,123.25 = 8,041.94 : x
  2. Step 2: Convert to fraction form
    31,415.50/47,123.25 = 8,041.94/x
  3. Step 3: Cross multiply
    31,415.50x = 47,123.25 × 8,041.94
  4. Step 4: Simplify right side
    31,415.50x = 378,962,349.11
  5. Step 5: Solve for x
    x = 378,962,349.11/31,415.50
  6. Step 6: Final answer
    x = 12,062.91

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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.