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Finding the Fourth Proportional to 45,311.70, 67,967.55 and 31,314.90

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Solution

The fourth proportional to 45,311.70, 67,967.55 and 31,314.90 is: 46,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.70 : 67,967.55 = 31,314.90 : x
  2. Step 2: Convert to fraction form
    45,311.70/67,967.55 = 31,314.90/x
  3. Step 3: Cross multiply
    45,311.70x = 67,967.55 × 31,314.90
  4. Step 4: Simplify right side
    45,311.70x = 2,128,397,031.50
  5. Step 5: Solve for x
    x = 2,128,397,031.50/45,311.70
  6. Step 6: Final answer
    x = 46,972.35

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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.