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Finding the Fourth Proportional to 56,692.62, 78,232.32 and 31,193.82

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Solution

The fourth proportional to 56,692.62, 78,232.32 and 31,193.82 is: 43,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,692.62 : 78,232.32 = 31,193.82 : x
  2. Step 2: Convert to fraction form
    56,692.62/78,232.32 = 31,193.82/x
  3. Step 3: Cross multiply
    56,692.62x = 78,232.32 × 31,193.82
  4. Step 4: Simplify right side
    56,692.62x = 2,440,364,908.26
  5. Step 5: Solve for x
    x = 2,440,364,908.26/56,692.62
  6. Step 6: Final answer
    x = 43,045.55

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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.