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Finding the Fourth Proportional to 58,196.20, 87,283.74 and 16,633

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Solution

The fourth proportional to 58,196.20, 87,283.74 and 16,633 is: 24,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,196.20 : 87,283.74 = 16,633 : x
  2. Step 2: Convert to fraction form
    58,196.20/87,283.74 = 16,633/x
  3. Step 3: Cross multiply
    58,196.20x = 87,283.74 × 16,633
  4. Step 4: Simplify right side
    58,196.20x = 1,451,790,447.42
  5. Step 5: Solve for x
    x = 1,451,790,447.42/58,196.20
  6. Step 6: Final answer
    x = 24,946.48

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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.