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Finding the Fourth Proportional to 29,222.26, 43,829.25 and 9,501.10

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Solution

The fourth proportional to 29,222.26, 43,829.25 and 9,501.10 is: 14,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222.26 : 43,829.25 = 9,501.10 : x
  2. Step 2: Convert to fraction form
    29,222.26/43,829.25 = 9,501.10/x
  3. Step 3: Cross multiply
    29,222.26x = 43,829.25 × 9,501.10
  4. Step 4: Simplify right side
    29,222.26x = 416,426,087.18
  5. Step 5: Solve for x
    x = 416,426,087.18/29,222.26
  6. Step 6: Final answer
    x = 14,250.30

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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.