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Finding the Fourth Proportional to 56,637.56, 78,161.84 and 31,145.86

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Solution

The fourth proportional to 56,637.56, 78,161.84 and 31,145.86 is: 42,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,637.56 : 78,161.84 = 31,145.86 : x
  2. Step 2: Convert to fraction form
    56,637.56/78,161.84 = 31,145.86/x
  3. Step 3: Cross multiply
    56,637.56x = 78,161.84 × 31,145.86
  4. Step 4: Simplify right side
    56,637.56x = 2,434,417,725.98
  5. Step 5: Solve for x
    x = 2,434,417,725.98/56,637.56
  6. Step 6: Final answer
    x = 42,982.39

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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.