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Finding the Fourth Proportional to 54,358.64, 75,015.77 and 32,845.40

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Solution

The fourth proportional to 54,358.64, 75,015.77 and 32,845.40 is: 45,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.64 : 75,015.77 = 32,845.40 : x
  2. Step 2: Convert to fraction form
    54,358.64/75,015.77 = 32,845.40/x
  3. Step 3: Cross multiply
    54,358.64x = 75,015.77 × 32,845.40
  4. Step 4: Simplify right side
    54,358.64x = 2,463,922,898.72
  5. Step 5: Solve for x
    x = 2,463,922,898.72/54,358.64
  6. Step 6: Final answer
    x = 45,327.16

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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.