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Finding the Fourth Proportional to 42,872.83, 64,318.65 and 14,408.77

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Solution

The fourth proportional to 42,872.83, 64,318.65 and 14,408.77 is: 21,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872.83 : 64,318.65 = 14,408.77 : x
  2. Step 2: Convert to fraction form
    42,872.83/64,318.65 = 14,408.77/x
  3. Step 3: Cross multiply
    42,872.83x = 64,318.65 × 14,408.77
  4. Step 4: Simplify right side
    42,872.83x = 926,752,634.56
  5. Step 5: Solve for x
    x = 926,752,634.56/42,872.83
  6. Step 6: Final answer
    x = 21,616.32

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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.