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Finding the Fourth Proportional to 37,830.50, 56,740.64 and 15,640.80

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Solution

The fourth proportional to 37,830.50, 56,740.64 and 15,640.80 is: 23,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.50 : 56,740.64 = 15,640.80 : x
  2. Step 2: Convert to fraction form
    37,830.50/56,740.64 = 15,640.80/x
  3. Step 3: Cross multiply
    37,830.50x = 56,740.64 × 15,640.80
  4. Step 4: Simplify right side
    37,830.50x = 887,469,002.11
  5. Step 5: Solve for x
    x = 887,469,002.11/37,830.50
  6. Step 6: Final answer
    x = 23,459.09

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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.