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Finding the Fourth Proportional to 47,053.92, 70,562.12 and 20,740

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Solution

The fourth proportional to 47,053.92, 70,562.12 and 20,740 is: 31,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,053.92 : 70,562.12 = 20,740 : x
  2. Step 2: Convert to fraction form
    47,053.92/70,562.12 = 20,740/x
  3. Step 3: Cross multiply
    47,053.92x = 70,562.12 × 20,740
  4. Step 4: Simplify right side
    47,053.92x = 1,463,458,368.80
  5. Step 5: Solve for x
    x = 1,463,458,368.80/47,053.92
  6. Step 6: Final answer
    x = 31,101.73

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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.