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Finding the Fourth Proportional to 75,843.68, 113,827.52 and 53,678.64

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Solution

The fourth proportional to 75,843.68, 113,827.52 and 53,678.64 is: 80,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.68 : 113,827.52 = 53,678.64 : x
  2. Step 2: Convert to fraction form
    75,843.68/113,827.52 = 53,678.64/x
  3. Step 3: Cross multiply
    75,843.68x = 113,827.52 × 53,678.64
  4. Step 4: Simplify right side
    75,843.68x = 6,110,106,468.17
  5. Step 5: Solve for x
    x = 6,110,106,468.17/75,843.68
  6. Step 6: Final answer
    x = 80,561.84

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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.