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Finding the Fourth Proportional to 57,245.90, 78,947.62 and 35,737.63

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Solution

The fourth proportional to 57,245.90, 78,947.62 and 35,737.63 is: 49,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,245.90 : 78,947.62 = 35,737.63 : x
  2. Step 2: Convert to fraction form
    57,245.90/78,947.62 = 35,737.63/x
  3. Step 3: Cross multiply
    57,245.90x = 78,947.62 × 35,737.63
  4. Step 4: Simplify right side
    57,245.90x = 2,821,400,832.94
  5. Step 5: Solve for x
    x = 2,821,400,832.94/57,245.90
  6. Step 6: Final answer
    x = 49,285.64

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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.