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Finding the Fourth Proportional to 37,819.16, 56,735.50 and 12,857.90

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Solution

The fourth proportional to 37,819.16, 56,735.50 and 12,857.90 is: 19,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,819.16 : 56,735.50 = 12,857.90 : x
  2. Step 2: Convert to fraction form
    37,819.16/56,735.50 = 12,857.90/x
  3. Step 3: Cross multiply
    37,819.16x = 56,735.50 × 12,857.90
  4. Step 4: Simplify right side
    37,819.16x = 729,499,385.45
  5. Step 5: Solve for x
    x = 729,499,385.45/37,819.16
  6. Step 6: Final answer
    x = 19,289.15

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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.