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Finding the Fourth Proportional to 57,607.20, 79,496.64 and 32,454

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Solution

The fourth proportional to 57,607.20, 79,496.64 and 32,454 is: 44,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,607.20 : 79,496.64 = 32,454 : x
  2. Step 2: Convert to fraction form
    57,607.20/79,496.64 = 32,454/x
  3. Step 3: Cross multiply
    57,607.20x = 79,496.64 × 32,454
  4. Step 4: Simplify right side
    57,607.20x = 2,579,983,954.56
  5. Step 5: Solve for x
    x = 2,579,983,954.56/57,607.20
  6. Step 6: Final answer
    x = 44,785.79

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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.