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Finding the Fourth Proportional to 29,223.83, 43,840.91 and 9,498.92

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Solution

The fourth proportional to 29,223.83, 43,840.91 and 9,498.92 is: 14,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223.83 : 43,840.91 = 9,498.92 : x
  2. Step 2: Convert to fraction form
    29,223.83/43,840.91 = 9,498.92/x
  3. Step 3: Cross multiply
    29,223.83x = 43,840.91 × 9,498.92
  4. Step 4: Simplify right side
    29,223.83x = 416,441,101.36
  5. Step 5: Solve for x
    x = 416,441,101.36/29,223.83
  6. Step 6: Final answer
    x = 14,250.05

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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.