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Finding the Fourth Proportional to 30,762.23, 42,452.07 and 18,022.95

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Solution

The fourth proportional to 30,762.23, 42,452.07 and 18,022.95 is: 24,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.23 : 42,452.07 = 18,022.95 : x
  2. Step 2: Convert to fraction form
    30,762.23/42,452.07 = 18,022.95/x
  3. Step 3: Cross multiply
    30,762.23x = 42,452.07 × 18,022.95
  4. Step 4: Simplify right side
    30,762.23x = 765,111,535.01
  5. Step 5: Solve for x
    x = 765,111,535.01/30,762.23
  6. Step 6: Final answer
    x = 24,871.79

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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.