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Finding the Fourth Proportional to 30,893.70, 42,631.65 and 17,464.17

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Solution

The fourth proportional to 30,893.70, 42,631.65 and 17,464.17 is: 24,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.70 : 42,631.65 = 17,464.17 : x
  2. Step 2: Convert to fraction form
    30,893.70/42,631.65 = 17,464.17/x
  3. Step 3: Cross multiply
    30,893.70x = 42,631.65 × 17,464.17
  4. Step 4: Simplify right side
    30,893.70x = 744,526,542.85
  5. Step 5: Solve for x
    x = 744,526,542.85/30,893.70
  6. Step 6: Final answer
    x = 24,099.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.