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Finding the Fourth Proportional to 30,570.18, 42,129.78 and 23,845.20

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Solution

The fourth proportional to 30,570.18, 42,129.78 and 23,845.20 is: 32,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.18 : 42,129.78 = 23,845.20 : x
  2. Step 2: Convert to fraction form
    30,570.18/42,129.78 = 23,845.20/x
  3. Step 3: Cross multiply
    30,570.18x = 42,129.78 × 23,845.20
  4. Step 4: Simplify right side
    30,570.18x = 1,004,593,030.06
  5. Step 5: Solve for x
    x = 1,004,593,030.06/30,570.18
  6. Step 6: Final answer
    x = 32,861.86

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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.