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Finding the Fourth Proportional to 76,234.40, 114,254.40 and 36,706.40

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Solution

The fourth proportional to 76,234.40, 114,254.40 and 36,706.40 is: 55,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,234.40 : 114,254.40 = 36,706.40 : x
  2. Step 2: Convert to fraction form
    76,234.40/114,254.40 = 36,706.40/x
  3. Step 3: Cross multiply
    76,234.40x = 114,254.40 × 36,706.40
  4. Step 4: Simplify right side
    76,234.40x = 4,193,867,708.16
  5. Step 5: Solve for x
    x = 4,193,867,708.16/76,234.40
  6. Step 6: Final answer
    x = 55,012.80

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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.