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Finding the Fourth Proportional to 56,774.20, 85,199.70 and 31,814.20

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Solution

The fourth proportional to 56,774.20, 85,199.70 and 31,814.20 is: 47,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,774.20 : 85,199.70 = 31,814.20 : x
  2. Step 2: Convert to fraction form
    56,774.20/85,199.70 = 31,814.20/x
  3. Step 3: Cross multiply
    56,774.20x = 85,199.70 × 31,814.20
  4. Step 4: Simplify right side
    56,774.20x = 2,710,560,295.74
  5. Step 5: Solve for x
    x = 2,710,560,295.74/56,774.20
  6. Step 6: Final answer
    x = 47,742.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.