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Finding the Fourth Proportional to 75,956.64, 113,914.96 and 52,259.20

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Solution

The fourth proportional to 75,956.64, 113,914.96 and 52,259.20 is: 78,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,956.64 : 113,914.96 = 52,259.20 : x
  2. Step 2: Convert to fraction form
    75,956.64/113,914.96 = 52,259.20/x
  3. Step 3: Cross multiply
    75,956.64x = 113,914.96 × 52,259.20
  4. Step 4: Simplify right side
    75,956.64x = 5,953,104,677.63
  5. Step 5: Solve for x
    x = 5,953,104,677.63/75,956.64
  6. Step 6: Final answer
    x = 78,375.04

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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.