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Finding the Fourth Proportional to 52,644.68, 72,642.66 and 33,807.32

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Solution

The fourth proportional to 52,644.68, 72,642.66 and 33,807.32 is: 46,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.68 : 72,642.66 = 33,807.32 : x
  2. Step 2: Convert to fraction form
    52,644.68/72,642.66 = 33,807.32/x
  3. Step 3: Cross multiply
    52,644.68x = 72,642.66 × 33,807.32
  4. Step 4: Simplify right side
    52,644.68x = 2,455,853,652.27
  5. Step 5: Solve for x
    x = 2,455,853,652.27/52,644.68
  6. Step 6: Final answer
    x = 46,649.61

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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.