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Finding the Fourth Proportional to 35,321.52, 48,741.24 and 19,406.64

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Solution

The fourth proportional to 35,321.52, 48,741.24 and 19,406.64 is: 26,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321.52 : 48,741.24 = 19,406.64 : x
  2. Step 2: Convert to fraction form
    35,321.52/48,741.24 = 19,406.64/x
  3. Step 3: Cross multiply
    35,321.52x = 48,741.24 × 19,406.64
  4. Step 4: Simplify right side
    35,321.52x = 945,903,697.83
  5. Step 5: Solve for x
    x = 945,903,697.83/35,321.52
  6. Step 6: Final answer
    x = 26,779.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.