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Finding the Fourth Proportional to 29,227.07, 43,830.80 and 9,500.78

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Solution

The fourth proportional to 29,227.07, 43,830.80 and 9,500.78 is: 14,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227.07 : 43,830.80 = 9,500.78 : x
  2. Step 2: Convert to fraction form
    29,227.07/43,830.80 = 9,500.78/x
  3. Step 3: Cross multiply
    29,227.07x = 43,830.80 × 9,500.78
  4. Step 4: Simplify right side
    29,227.07x = 416,426,788.02
  5. Step 5: Solve for x
    x = 416,426,788.02/29,227.07
  6. Step 6: Final answer
    x = 14,247.98

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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.