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Finding the Fourth Proportional to 42,120.58, 63,194.54 and 12,538.67

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Solution

The fourth proportional to 42,120.58, 63,194.54 and 12,538.67 is: 18,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120.58 : 63,194.54 = 12,538.67 : x
  2. Step 2: Convert to fraction form
    42,120.58/63,194.54 = 12,538.67/x
  3. Step 3: Cross multiply
    42,120.58x = 63,194.54 × 12,538.67
  4. Step 4: Simplify right side
    42,120.58x = 792,375,494.93
  5. Step 5: Solve for x
    x = 792,375,494.93/42,120.58
  6. Step 6: Final answer
    x = 18,812.07

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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.