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Finding the Fourth Proportional to 37,102.35, 55,641.68 and 12,135.67

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Solution

The fourth proportional to 37,102.35, 55,641.68 and 12,135.67 is: 18,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.35 : 55,641.68 = 12,135.67 : x
  2. Step 2: Convert to fraction form
    37,102.35/55,641.68 = 12,135.67/x
  3. Step 3: Cross multiply
    37,102.35x = 55,641.68 × 12,135.67
  4. Step 4: Simplify right side
    37,102.35x = 675,249,293.70
  5. Step 5: Solve for x
    x = 675,249,293.70/37,102.35
  6. Step 6: Final answer
    x = 18,199.63

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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.