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Finding the Fourth Proportional to 57,768.86, 79,678.38 and 36,527.63

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Solution

The fourth proportional to 57,768.86, 79,678.38 and 36,527.63 is: 50,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,768.86 : 79,678.38 = 36,527.63 : x
  2. Step 2: Convert to fraction form
    57,768.86/79,678.38 = 36,527.63/x
  3. Step 3: Cross multiply
    57,768.86x = 79,678.38 × 36,527.63
  4. Step 4: Simplify right side
    57,768.86x = 2,910,462,122.23
  5. Step 5: Solve for x
    x = 2,910,462,122.23/57,768.86
  6. Step 6: Final answer
    x = 50,381.16

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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.