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Finding the Fourth Proportional to 42,473.24, 63,709.62 and 14,771

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Solution

The fourth proportional to 42,473.24, 63,709.62 and 14,771 is: 22,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,473.24 : 63,709.62 = 14,771 : x
  2. Step 2: Convert to fraction form
    42,473.24/63,709.62 = 14,771/x
  3. Step 3: Cross multiply
    42,473.24x = 63,709.62 × 14,771
  4. Step 4: Simplify right side
    42,473.24x = 941,054,797.02
  5. Step 5: Solve for x
    x = 941,054,797.02/42,473.24
  6. Step 6: Final answer
    x = 22,156.42

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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.