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Finding the Fourth Proportional to 57,824.38, 79,811 and 37,646.16

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Solution

The fourth proportional to 57,824.38, 79,811 and 37,646.16 is: 51,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824.38 : 79,811 = 37,646.16 : x
  2. Step 2: Convert to fraction form
    57,824.38/79,811 = 37,646.16/x
  3. Step 3: Cross multiply
    57,824.38x = 79,811 × 37,646.16
  4. Step 4: Simplify right side
    57,824.38x = 3,004,577,675.76
  5. Step 5: Solve for x
    x = 3,004,577,675.76/57,824.38
  6. Step 6: Final answer
    x = 51,960.40

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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.