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Finding the Fourth Proportional to 42,813.72, 64,204.61 and 14,725.82

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Solution

The fourth proportional to 42,813.72, 64,204.61 and 14,725.82 is: 22,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,813.72 : 64,204.61 = 14,725.82 : x
  2. Step 2: Convert to fraction form
    42,813.72/64,204.61 = 14,725.82/x
  3. Step 3: Cross multiply
    42,813.72x = 64,204.61 × 14,725.82
  4. Step 4: Simplify right side
    42,813.72x = 945,465,616.91
  5. Step 5: Solve for x
    x = 945,465,616.91/42,813.72
  6. Step 6: Final answer
    x = 22,083.24

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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.