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Finding the Fourth Proportional to 56,744, 78,307.26 and 31,594.04

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Solution

The fourth proportional to 56,744, 78,307.26 and 31,594.04 is: 43,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744 : 78,307.26 = 31,594.04 : x
  2. Step 2: Convert to fraction form
    56,744/78,307.26 = 31,594.04/x
  3. Step 3: Cross multiply
    56,744x = 78,307.26 × 31,594.04
  4. Step 4: Simplify right side
    56,744x = 2,474,042,704.73
  5. Step 5: Solve for x
    x = 2,474,042,704.73/56,744
  6. Step 6: Final answer
    x = 43,600.08

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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.