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Finding the Fourth Proportional to 75,892.68, 113,818.24 and 28,504.11

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Solution

The fourth proportional to 75,892.68, 113,818.24 and 28,504.11 is: 42,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.68 : 113,818.24 = 28,504.11 : x
  2. Step 2: Convert to fraction form
    75,892.68/113,818.24 = 28,504.11/x
  3. Step 3: Cross multiply
    75,892.68x = 113,818.24 × 28,504.11
  4. Step 4: Simplify right side
    75,892.68x = 3,244,286,921.35
  5. Step 5: Solve for x
    x = 3,244,286,921.35/75,892.68
  6. Step 6: Final answer
    x = 42,748.35

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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.