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Finding the Fourth Proportional to 30,618, 42,121.62 and 29,305.80

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Solution

The fourth proportional to 30,618, 42,121.62 and 29,305.80 is: 40,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 42,121.62 = 29,305.80 : x
  2. Step 2: Convert to fraction form
    30,618/42,121.62 = 29,305.80/x
  3. Step 3: Cross multiply
    30,618x = 42,121.62 × 29,305.80
  4. Step 4: Simplify right side
    30,618x = 1,234,407,771.40
  5. Step 5: Solve for x
    x = 1,234,407,771.40/30,618
  6. Step 6: Final answer
    x = 40,316.41

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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.