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Finding the Fourth Proportional to 30,999.95, 42,780.24 and 16,853.10

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Solution

The fourth proportional to 30,999.95, 42,780.24 and 16,853.10 is: 23,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.95 : 42,780.24 = 16,853.10 : x
  2. Step 2: Convert to fraction form
    30,999.95/42,780.24 = 16,853.10/x
  3. Step 3: Cross multiply
    30,999.95x = 42,780.24 × 16,853.10
  4. Step 4: Simplify right side
    30,999.95x = 720,979,662.74
  5. Step 5: Solve for x
    x = 720,979,662.74/30,999.95
  6. Step 6: Final answer
    x = 23,257.45

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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.