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Finding the Fourth Proportional to 61,857.86, 85,364.84 and 33,563.55

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Solution

The fourth proportional to 61,857.86, 85,364.84 and 33,563.55 is: 46,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,857.86 : 85,364.84 = 33,563.55 : x
  2. Step 2: Convert to fraction form
    61,857.86/85,364.84 = 33,563.55/x
  3. Step 3: Cross multiply
    61,857.86x = 85,364.84 × 33,563.55
  4. Step 4: Simplify right side
    61,857.86x = 2,865,147,159.49
  5. Step 5: Solve for x
    x = 2,865,147,159.49/61,857.86
  6. Step 6: Final answer
    x = 46,318.24

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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.