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Finding the Fourth Proportional to 37,210.34, 55,823.19 and 12,251.88

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Solution

The fourth proportional to 37,210.34, 55,823.19 and 12,251.88 is: 18,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210.34 : 55,823.19 = 12,251.88 : x
  2. Step 2: Convert to fraction form
    37,210.34/55,823.19 = 12,251.88/x
  3. Step 3: Cross multiply
    37,210.34x = 55,823.19 × 12,251.88
  4. Step 4: Simplify right side
    37,210.34x = 683,939,025.10
  5. Step 5: Solve for x
    x = 683,939,025.10/37,210.34
  6. Step 6: Final answer
    x = 18,380.35

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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.