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Finding the Fourth Proportional to 57,429, 79,252.02 and 32,278.50

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Solution

The fourth proportional to 57,429, 79,252.02 and 32,278.50 is: 44,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429 : 79,252.02 = 32,278.50 : x
  2. Step 2: Convert to fraction form
    57,429/79,252.02 = 32,278.50/x
  3. Step 3: Cross multiply
    57,429x = 79,252.02 × 32,278.50
  4. Step 4: Simplify right side
    57,429x = 2,558,136,327.57
  5. Step 5: Solve for x
    x = 2,558,136,327.57/57,429
  6. Step 6: Final answer
    x = 44,544.33

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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.