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Finding the Fourth Proportional to 30,834.16, 46,251.50 and 24,295.28

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Solution

The fourth proportional to 30,834.16, 46,251.50 and 24,295.28 is: 36,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.16 : 46,251.50 = 24,295.28 : x
  2. Step 2: Convert to fraction form
    30,834.16/46,251.50 = 24,295.28/x
  3. Step 3: Cross multiply
    30,834.16x = 46,251.50 × 24,295.28
  4. Step 4: Simplify right side
    30,834.16x = 1,123,693,142.92
  5. Step 5: Solve for x
    x = 1,123,693,142.92/30,834.16
  6. Step 6: Final answer
    x = 36,443.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.