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Finding the Fourth Proportional to 56,311.56, 77,710.50 and 31,161

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Solution

The fourth proportional to 56,311.56, 77,710.50 and 31,161 is: 43,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.56 : 77,710.50 = 31,161 : x
  2. Step 2: Convert to fraction form
    56,311.56/77,710.50 = 31,161/x
  3. Step 3: Cross multiply
    56,311.56x = 77,710.50 × 31,161
  4. Step 4: Simplify right side
    56,311.56x = 2,421,536,890.50
  5. Step 5: Solve for x
    x = 2,421,536,890.50/56,311.56
  6. Step 6: Final answer
    x = 43,002.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.