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Finding the Fourth Proportional to 61,430.86, 84,757.62 and 34,571.80

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Solution

The fourth proportional to 61,430.86, 84,757.62 and 34,571.80 is: 47,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,430.86 : 84,757.62 = 34,571.80 : x
  2. Step 2: Convert to fraction form
    61,430.86/84,757.62 = 34,571.80/x
  3. Step 3: Cross multiply
    61,430.86x = 84,757.62 × 34,571.80
  4. Step 4: Simplify right side
    61,430.86x = 2,930,223,487.12
  5. Step 5: Solve for x
    x = 2,930,223,487.12/61,430.86
  6. Step 6: Final answer
    x = 47,699.54

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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.