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Finding the Fourth Proportional to 61,571.42, 84,967.76 and 34,722.57

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Solution

The fourth proportional to 61,571.42, 84,967.76 and 34,722.57 is: 47,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,571.42 : 84,967.76 = 34,722.57 : x
  2. Step 2: Convert to fraction form
    61,571.42/84,967.76 = 34,722.57/x
  3. Step 3: Cross multiply
    61,571.42x = 84,967.76 × 34,722.57
  4. Step 4: Simplify right side
    61,571.42x = 2,950,299,302.12
  5. Step 5: Solve for x
    x = 2,950,299,302.12/61,571.42
  6. Step 6: Final answer
    x = 47,916.70

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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.