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Finding the Fourth Proportional to 35,826.10, 53,738.24 and 9,531.07

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Solution

The fourth proportional to 35,826.10, 53,738.24 and 9,531.07 is: 14,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,826.10 : 53,738.24 = 9,531.07 : x
  2. Step 2: Convert to fraction form
    35,826.10/53,738.24 = 9,531.07/x
  3. Step 3: Cross multiply
    35,826.10x = 53,738.24 × 9,531.07
  4. Step 4: Simplify right side
    35,826.10x = 512,182,745.12
  5. Step 5: Solve for x
    x = 512,182,745.12/35,826.10
  6. Step 6: Final answer
    x = 14,296.36

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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.