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Finding the Fourth Proportional to 57,056.93, 78,712.02 and 36,920.31

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Solution

The fourth proportional to 57,056.93, 78,712.02 and 36,920.31 is: 50,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.93 : 78,712.02 = 36,920.31 : x
  2. Step 2: Convert to fraction form
    57,056.93/78,712.02 = 36,920.31/x
  3. Step 3: Cross multiply
    57,056.93x = 78,712.02 × 36,920.31
  4. Step 4: Simplify right side
    57,056.93x = 2,906,072,179.13
  5. Step 5: Solve for x
    x = 2,906,072,179.13/57,056.93
  6. Step 6: Final answer
    x = 50,932.86

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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.