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Finding the Fourth Proportional to 37,114.60, 55,677.30 and 12,148.60

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Solution

The fourth proportional to 37,114.60, 55,677.30 and 12,148.60 is: 18,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114.60 : 55,677.30 = 12,148.60 : x
  2. Step 2: Convert to fraction form
    37,114.60/55,677.30 = 12,148.60/x
  3. Step 3: Cross multiply
    37,114.60x = 55,677.30 × 12,148.60
  4. Step 4: Simplify right side
    37,114.60x = 676,401,246.78
  5. Step 5: Solve for x
    x = 676,401,246.78/37,114.60
  6. Step 6: Final answer
    x = 18,224.67

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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.