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Finding the Fourth Proportional to 47,330.76, 70,886.52 and 33,969

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Solution

The fourth proportional to 47,330.76, 70,886.52 and 33,969 is: 50,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,330.76 : 70,886.52 = 33,969 : x
  2. Step 2: Convert to fraction form
    47,330.76/70,886.52 = 33,969/x
  3. Step 3: Cross multiply
    47,330.76x = 70,886.52 × 33,969
  4. Step 4: Simplify right side
    47,330.76x = 2,407,944,197.88
  5. Step 5: Solve for x
    x = 2,407,944,197.88/47,330.76
  6. Step 6: Final answer
    x = 50,874.83

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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.