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Finding the Fourth Proportional to 56,647.99, 84,934.50 and 31,690.66

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Solution

The fourth proportional to 56,647.99, 84,934.50 and 31,690.66 is: 47,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647.99 : 84,934.50 = 31,690.66 : x
  2. Step 2: Convert to fraction form
    56,647.99/84,934.50 = 31,690.66/x
  3. Step 3: Cross multiply
    56,647.99x = 84,934.50 × 31,690.66
  4. Step 4: Simplify right side
    56,647.99x = 2,691,630,361.77
  5. Step 5: Solve for x
    x = 2,691,630,361.77/56,647.99
  6. Step 6: Final answer
    x = 47,515.02

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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.