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Finding the Fourth Proportional to 56,909.33, 78,539.22 and 31,420.60

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Solution

The fourth proportional to 56,909.33, 78,539.22 and 31,420.60 is: 43,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,909.33 : 78,539.22 = 31,420.60 : x
  2. Step 2: Convert to fraction form
    56,909.33/78,539.22 = 31,420.60/x
  3. Step 3: Cross multiply
    56,909.33x = 78,539.22 × 31,420.60
  4. Step 4: Simplify right side
    56,909.33x = 2,467,749,337.38
  5. Step 5: Solve for x
    x = 2,467,749,337.38/56,909.33
  6. Step 6: Final answer
    x = 43,362.83

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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.