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Finding the Fourth Proportional to 61,474.63, 84,834.03 and 34,617.07

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Solution

The fourth proportional to 61,474.63, 84,834.03 and 34,617.07 is: 47,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,474.63 : 84,834.03 = 34,617.07 : x
  2. Step 2: Convert to fraction form
    61,474.63/84,834.03 = 34,617.07/x
  3. Step 3: Cross multiply
    61,474.63x = 84,834.03 × 34,617.07
  4. Step 4: Simplify right side
    61,474.63x = 2,936,705,554.89
  5. Step 5: Solve for x
    x = 2,936,705,554.89/61,474.63
  6. Step 6: Final answer
    x = 47,771.02

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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.