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Finding the Fourth Proportional to 56,646.92, 78,182.53 and 32,786.75

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Solution

The fourth proportional to 56,646.92, 78,182.53 and 32,786.75 is: 45,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.92 : 78,182.53 = 32,786.75 : x
  2. Step 2: Convert to fraction form
    56,646.92/78,182.53 = 32,786.75/x
  3. Step 3: Cross multiply
    56,646.92x = 78,182.53 × 32,786.75
  4. Step 4: Simplify right side
    56,646.92x = 2,563,350,951.99
  5. Step 5: Solve for x
    x = 2,563,350,951.99/56,646.92
  6. Step 6: Final answer
    x = 45,251.38

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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.