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Finding the Fourth Proportional to 30,752.92, 42,439.50 and 18,178.84

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Solution

The fourth proportional to 30,752.92, 42,439.50 and 18,178.84 is: 25,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.92 : 42,439.50 = 18,178.84 : x
  2. Step 2: Convert to fraction form
    30,752.92/42,439.50 = 18,178.84/x
  3. Step 3: Cross multiply
    30,752.92x = 42,439.50 × 18,178.84
  4. Step 4: Simplify right side
    30,752.92x = 771,500,880.18
  5. Step 5: Solve for x
    x = 771,500,880.18/30,752.92
  6. Step 6: Final answer
    x = 25,087.08

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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.