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Finding the Fourth Proportional to 29,813.76, 41,140.16 and 17,874.88

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Solution

The fourth proportional to 29,813.76, 41,140.16 and 17,874.88 is: 24,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.76 : 41,140.16 = 17,874.88 : x
  2. Step 2: Convert to fraction form
    29,813.76/41,140.16 = 17,874.88/x
  3. Step 3: Cross multiply
    29,813.76x = 41,140.16 × 17,874.88
  4. Step 4: Simplify right side
    29,813.76x = 735,375,423.18
  5. Step 5: Solve for x
    x = 735,375,423.18/29,813.76
  6. Step 6: Final answer
    x = 24,665.64

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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.