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Finding the Fourth Proportional to 43,284, 59,732.04 and 23,412

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Solution

The fourth proportional to 43,284, 59,732.04 and 23,412 is: 32,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,284 : 59,732.04 = 23,412 : x
  2. Step 2: Convert to fraction form
    43,284/59,732.04 = 23,412/x
  3. Step 3: Cross multiply
    43,284x = 59,732.04 × 23,412
  4. Step 4: Simplify right side
    43,284x = 1,398,446,520.48
  5. Step 5: Solve for x
    x = 1,398,446,520.48/43,284
  6. Step 6: Final answer
    x = 32,308.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.