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Finding the Fourth Proportional to 30,945.63, 42,705 and 16,798.47

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Solution

The fourth proportional to 30,945.63, 42,705 and 16,798.47 is: 23,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.63 : 42,705 = 16,798.47 : x
  2. Step 2: Convert to fraction form
    30,945.63/42,705 = 16,798.47/x
  3. Step 3: Cross multiply
    30,945.63x = 42,705 × 16,798.47
  4. Step 4: Simplify right side
    30,945.63x = 717,378,661.35
  5. Step 5: Solve for x
    x = 717,378,661.35/30,945.63
  6. Step 6: Final answer
    x = 23,181.91

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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.