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Finding the Fourth Proportional to 30,765.96, 42,478.29 and 23,583.42

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Solution

The fourth proportional to 30,765.96, 42,478.29 and 23,583.42 is: 32,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.96 : 42,478.29 = 23,583.42 : x
  2. Step 2: Convert to fraction form
    30,765.96/42,478.29 = 23,583.42/x
  3. Step 3: Cross multiply
    30,765.96x = 42,478.29 × 23,583.42
  4. Step 4: Simplify right side
    30,765.96x = 1,001,783,353.95
  5. Step 5: Solve for x
    x = 1,001,783,353.95/30,765.96
  6. Step 6: Final answer
    x = 32,561.42

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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.