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Finding the Fourth Proportional to 30,777.42, 42,448.68 and 22,280.79

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Solution

The fourth proportional to 30,777.42, 42,448.68 and 22,280.79 is: 30,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.42 : 42,448.68 = 22,280.79 : x
  2. Step 2: Convert to fraction form
    30,777.42/42,448.68 = 22,280.79/x
  3. Step 3: Cross multiply
    30,777.42x = 42,448.68 × 22,280.79
  4. Step 4: Simplify right side
    30,777.42x = 945,790,124.86
  5. Step 5: Solve for x
    x = 945,790,124.86/30,777.42
  6. Step 6: Final answer
    x = 30,730.00

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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.