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Finding the Fourth Proportional to 29,223.26, 43,830.75 and 9,502.10

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Solution

The fourth proportional to 29,223.26, 43,830.75 and 9,502.10 is: 14,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223.26 : 43,830.75 = 9,502.10 : x
  2. Step 2: Convert to fraction form
    29,223.26/43,830.75 = 9,502.10/x
  3. Step 3: Cross multiply
    29,223.26x = 43,830.75 × 9,502.10
  4. Step 4: Simplify right side
    29,223.26x = 416,484,169.58
  5. Step 5: Solve for x
    x = 416,484,169.58/29,223.26
  6. Step 6: Final answer
    x = 14,251.80

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