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Finding the Fourth Proportional to 30,788.10, 42,487.49 and 16,640.94

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Solution

The fourth proportional to 30,788.10, 42,487.49 and 16,640.94 is: 22,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.10 : 42,487.49 = 16,640.94 : x
  2. Step 2: Convert to fraction form
    30,788.10/42,487.49 = 16,640.94/x
  3. Step 3: Cross multiply
    30,788.10x = 42,487.49 × 16,640.94
  4. Step 4: Simplify right side
    30,788.10x = 707,031,879.17
  5. Step 5: Solve for x
    x = 707,031,879.17/30,788.10
  6. Step 6: Final answer
    x = 22,964.45

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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.