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Finding the Fourth Proportional to 75,464.74, 112,904.43 and 54,453.16

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Solution

The fourth proportional to 75,464.74, 112,904.43 and 54,453.16 is: 81,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464.74 : 112,904.43 = 54,453.16 : x
  2. Step 2: Convert to fraction form
    75,464.74/112,904.43 = 54,453.16/x
  3. Step 3: Cross multiply
    75,464.74x = 112,904.43 × 54,453.16
  4. Step 4: Simplify right side
    75,464.74x = 6,148,002,991.50
  5. Step 5: Solve for x
    x = 6,148,002,991.50/75,464.74
  6. Step 6: Final answer
    x = 81,468.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.