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Finding the Fourth Proportional to 47,966.77, 72,002 and 20,284.21

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Solution

The fourth proportional to 47,966.77, 72,002 and 20,284.21 is: 30,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,966.77 : 72,002 = 20,284.21 : x
  2. Step 2: Convert to fraction form
    47,966.77/72,002 = 20,284.21/x
  3. Step 3: Cross multiply
    47,966.77x = 72,002 × 20,284.21
  4. Step 4: Simplify right side
    47,966.77x = 1,460,503,688.42
  5. Step 5: Solve for x
    x = 1,460,503,688.42/47,966.77
  6. Step 6: Final answer
    x = 30,448.24

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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.