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Finding the Fourth Proportional to 47,666.32, 71,473.08 and 21,396.24

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Solution

The fourth proportional to 47,666.32, 71,473.08 and 21,396.24 is: 32,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666.32 : 71,473.08 = 21,396.24 : x
  2. Step 2: Convert to fraction form
    47,666.32/71,473.08 = 21,396.24/x
  3. Step 3: Cross multiply
    47,666.32x = 71,473.08 × 21,396.24
  4. Step 4: Simplify right side
    47,666.32x = 1,529,255,173.22
  5. Step 5: Solve for x
    x = 1,529,255,173.22/47,666.32
  6. Step 6: Final answer
    x = 32,082.51

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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.