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Finding the Fourth Proportional to 29,989.50, 41,385.51 and 17,414.25

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Solution

The fourth proportional to 29,989.50, 41,385.51 and 17,414.25 is: 24,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,989.50 : 41,385.51 = 17,414.25 : x
  2. Step 2: Convert to fraction form
    29,989.50/41,385.51 = 17,414.25/x
  3. Step 3: Cross multiply
    29,989.50x = 41,385.51 × 17,414.25
  4. Step 4: Simplify right side
    29,989.50x = 720,697,617.52
  5. Step 5: Solve for x
    x = 720,697,617.52/29,989.50
  6. Step 6: Final answer
    x = 24,031.67

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Double scale
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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.