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Finding the Fourth Proportional to 56,739.92, 78,300.92 and 31,589.36

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Solution

The fourth proportional to 56,739.92, 78,300.92 and 31,589.36 is: 43,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,739.92 : 78,300.92 = 31,589.36 : x
  2. Step 2: Convert to fraction form
    56,739.92/78,300.92 = 31,589.36/x
  3. Step 3: Cross multiply
    56,739.92x = 78,300.92 × 31,589.36
  4. Step 4: Simplify right side
    56,739.92x = 2,473,475,950.21
  5. Step 5: Solve for x
    x = 2,473,475,950.21/56,739.92
  6. Step 6: Final answer
    x = 43,593.22

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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.