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Finding the Fourth Proportional to 84,311.40, 126,515.70 and 31,758.60

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Solution

The fourth proportional to 84,311.40, 126,515.70 and 31,758.60 is: 47,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311.40 : 126,515.70 = 31,758.60 : x
  2. Step 2: Convert to fraction form
    84,311.40/126,515.70 = 31,758.60/x
  3. Step 3: Cross multiply
    84,311.40x = 126,515.70 × 31,758.60
  4. Step 4: Simplify right side
    84,311.40x = 4,017,961,510.02
  5. Step 5: Solve for x
    x = 4,017,961,510.02/84,311.40
  6. Step 6: Final answer
    x = 47,656.21

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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.