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Finding the Fourth Proportional to 30,900, 42,641.76 and 16,752.48

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Solution

The fourth proportional to 30,900, 42,641.76 and 16,752.48 is: 23,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900 : 42,641.76 = 16,752.48 : x
  2. Step 2: Convert to fraction form
    30,900/42,641.76 = 16,752.48/x
  3. Step 3: Cross multiply
    30,900x = 42,641.76 × 16,752.48
  4. Step 4: Simplify right side
    30,900x = 714,355,231.56
  5. Step 5: Solve for x
    x = 714,355,231.56/30,900
  6. Step 6: Final answer
    x = 23,118.29

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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.