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Finding the Fourth Proportional to 57,833.52, 86,753.30 and 16,283.76

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Solution

The fourth proportional to 57,833.52, 86,753.30 and 16,283.76 is: 24,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,833.52 : 86,753.30 = 16,283.76 : x
  2. Step 2: Convert to fraction form
    57,833.52/86,753.30 = 16,283.76/x
  3. Step 3: Cross multiply
    57,833.52x = 86,753.30 × 16,283.76
  4. Step 4: Simplify right side
    57,833.52x = 1,412,669,916.41
  5. Step 5: Solve for x
    x = 1,412,669,916.41/57,833.52
  6. Step 6: Final answer
    x = 24,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.