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Finding the Fourth Proportional to 30,880.84, 42,612.15 and 17,452.08

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Solution

The fourth proportional to 30,880.84, 42,612.15 and 17,452.08 is: 24,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.84 : 42,612.15 = 17,452.08 : x
  2. Step 2: Convert to fraction form
    30,880.84/42,612.15 = 17,452.08/x
  3. Step 3: Cross multiply
    30,880.84x = 42,612.15 × 17,452.08
  4. Step 4: Simplify right side
    30,880.84x = 743,670,650.77
  5. Step 5: Solve for x
    x = 743,670,650.77/30,880.84
  6. Step 6: Final answer
    x = 24,081.94

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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.