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Finding the Fourth Proportional to 47,193.66, 70,823.28 and 30,512.32

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Solution

The fourth proportional to 47,193.66, 70,823.28 and 30,512.32 is: 45,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,193.66 : 70,823.28 = 30,512.32 : x
  2. Step 2: Convert to fraction form
    47,193.66/70,823.28 = 30,512.32/x
  3. Step 3: Cross multiply
    47,193.66x = 70,823.28 × 30,512.32
  4. Step 4: Simplify right side
    47,193.66x = 2,160,982,076.13
  5. Step 5: Solve for x
    x = 2,160,982,076.13/47,193.66
  6. Step 6: Final answer
    x = 45,789.67

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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.