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Finding the Fourth Proportional to 35,761.30, 53,635.87 and 9,468.70

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Solution

The fourth proportional to 35,761.30, 53,635.87 and 9,468.70 is: 14,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761.30 : 53,635.87 = 9,468.70 : x
  2. Step 2: Convert to fraction form
    35,761.30/53,635.87 = 9,468.70/x
  3. Step 3: Cross multiply
    35,761.30x = 53,635.87 × 9,468.70
  4. Step 4: Simplify right side
    35,761.30x = 507,861,840.02
  5. Step 5: Solve for x
    x = 507,861,840.02/35,761.30
  6. Step 6: Final answer
    x = 14,201.44

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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.