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Finding the Fourth Proportional to 56,650, 84,937.50 and 31,692.66

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Solution

The fourth proportional to 56,650, 84,937.50 and 31,692.66 is: 47,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,650 : 84,937.50 = 31,692.66 : x
  2. Step 2: Convert to fraction form
    56,650/84,937.50 = 31,692.66/x
  3. Step 3: Cross multiply
    56,650x = 84,937.50 × 31,692.66
  4. Step 4: Simplify right side
    56,650x = 2,691,895,308.75
  5. Step 5: Solve for x
    x = 2,691,895,308.75/56,650
  6. Step 6: Final answer
    x = 47,518.01

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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.