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Finding the Fourth Proportional to 47,649.42, 65,764.08 and 26,435.52

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Solution

The fourth proportional to 47,649.42, 65,764.08 and 26,435.52 is: 36,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649.42 : 65,764.08 = 26,435.52 : x
  2. Step 2: Convert to fraction form
    47,649.42/65,764.08 = 26,435.52/x
  3. Step 3: Cross multiply
    47,649.42x = 65,764.08 × 26,435.52
  4. Step 4: Simplify right side
    47,649.42x = 1,738,507,652.12
  5. Step 5: Solve for x
    x = 1,738,507,652.12/47,649.42
  6. Step 6: Final answer
    x = 36,485.39

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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.