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Finding the Fourth Proportional to 52,399.68, 72,305.28 and 29,741.28

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Solution

The fourth proportional to 52,399.68, 72,305.28 and 29,741.28 is: 41,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,399.68 : 72,305.28 = 29,741.28 : x
  2. Step 2: Convert to fraction form
    52,399.68/72,305.28 = 29,741.28/x
  3. Step 3: Cross multiply
    52,399.68x = 72,305.28 × 29,741.28
  4. Step 4: Simplify right side
    52,399.68x = 2,150,451,577.96
  5. Step 5: Solve for x
    x = 2,150,451,577.96/52,399.68
  6. Step 6: Final answer
    x = 41,039.40

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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.