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Finding the Fourth Proportional to 29,230.96, 43,846.98 and 9,509.44

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Solution

The fourth proportional to 29,230.96, 43,846.98 and 9,509.44 is: 14,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,230.96 : 43,846.98 = 9,509.44 : x
  2. Step 2: Convert to fraction form
    29,230.96/43,846.98 = 9,509.44/x
  3. Step 3: Cross multiply
    29,230.96x = 43,846.98 × 9,509.44
  4. Step 4: Simplify right side
    29,230.96x = 416,960,225.49
  5. Step 5: Solve for x
    x = 416,960,225.49/29,230.96
  6. Step 6: Final answer
    x = 14,264.34

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Double scale
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1.5x scale

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.