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Finding the Fourth Proportional to 56,692.74, 78,227.67 and 34,026.93

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Solution

The fourth proportional to 56,692.74, 78,227.67 and 34,026.93 is: 46,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,692.74 : 78,227.67 = 34,026.93 : x
  2. Step 2: Convert to fraction form
    56,692.74/78,227.67 = 34,026.93/x
  3. Step 3: Cross multiply
    56,692.74x = 78,227.67 × 34,026.93
  4. Step 4: Simplify right side
    56,692.74x = 2,661,847,451.15
  5. Step 5: Solve for x
    x = 2,661,847,451.15/56,692.74
  6. Step 6: Final answer
    x = 46,952.18

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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.