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Finding the Fourth Proportional to 30,823.61, 42,544.67 and 18,078.66

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Solution

The fourth proportional to 30,823.61, 42,544.67 and 18,078.66 is: 24,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.61 : 42,544.67 = 18,078.66 : x
  2. Step 2: Convert to fraction form
    30,823.61/42,544.67 = 18,078.66/x
  3. Step 3: Cross multiply
    30,823.61x = 42,544.67 × 18,078.66
  4. Step 4: Simplify right side
    30,823.61x = 769,150,533.35
  5. Step 5: Solve for x
    x = 769,150,533.35/30,823.61
  6. Step 6: Final answer
    x = 24,953.30

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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.