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Finding the Fourth Proportional to 29,826.90, 44,739.32 and 7,640.49

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Solution

The fourth proportional to 29,826.90, 44,739.32 and 7,640.49 is: 11,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.90 : 44,739.32 = 7,640.49 : x
  2. Step 2: Convert to fraction form
    29,826.90/44,739.32 = 7,640.49/x
  3. Step 3: Cross multiply
    29,826.90x = 44,739.32 × 7,640.49
  4. Step 4: Simplify right side
    29,826.90x = 341,830,499.61
  5. Step 5: Solve for x
    x = 341,830,499.61/29,826.90
  6. Step 6: Final answer
    x = 11,460.48

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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.