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Finding the Fourth Proportional to 42,119.97, 63,175.63 and 14,037

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Solution

The fourth proportional to 42,119.97, 63,175.63 and 14,037 is: 21,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,119.97 : 63,175.63 = 14,037 : x
  2. Step 2: Convert to fraction form
    42,119.97/63,175.63 = 14,037/x
  3. Step 3: Cross multiply
    42,119.97x = 63,175.63 × 14,037
  4. Step 4: Simplify right side
    42,119.97x = 886,796,318.31
  5. Step 5: Solve for x
    x = 886,796,318.31/42,119.97
  6. Step 6: Final answer
    x = 21,054.06

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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.