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Finding the Fourth Proportional to 47,254.40, 70,898 and 20,977.60

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Solution

The fourth proportional to 47,254.40, 70,898 and 20,977.60 is: 31,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.40 : 70,898 = 20,977.60 : x
  2. Step 2: Convert to fraction form
    47,254.40/70,898 = 20,977.60/x
  3. Step 3: Cross multiply
    47,254.40x = 70,898 × 20,977.60
  4. Step 4: Simplify right side
    47,254.40x = 1,487,269,884.80
  5. Step 5: Solve for x
    x = 1,487,269,884.80/47,254.40
  6. Step 6: Final answer
    x = 31,473.68

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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.