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Finding the Fourth Proportional to 56,644.50, 78,170.09 and 31,153.63

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Solution

The fourth proportional to 56,644.50, 78,170.09 and 31,153.63 is: 42,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.50 : 78,170.09 = 31,153.63 : x
  2. Step 2: Convert to fraction form
    56,644.50/78,170.09 = 31,153.63/x
  3. Step 3: Cross multiply
    56,644.50x = 78,170.09 × 31,153.63
  4. Step 4: Simplify right side
    56,644.50x = 2,435,282,060.93
  5. Step 5: Solve for x
    x = 2,435,282,060.93/56,644.50
  6. Step 6: Final answer
    x = 42,992.38

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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.