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Finding the Fourth Proportional to 61,114.50, 84,342.87 and 35,968.86

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Solution

The fourth proportional to 61,114.50, 84,342.87 and 35,968.86 is: 49,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114.50 : 84,342.87 = 35,968.86 : x
  2. Step 2: Convert to fraction form
    61,114.50/84,342.87 = 35,968.86/x
  3. Step 3: Cross multiply
    61,114.50x = 84,342.87 × 35,968.86
  4. Step 4: Simplify right side
    61,114.50x = 3,033,716,883.03
  5. Step 5: Solve for x
    x = 3,033,716,883.03/61,114.50
  6. Step 6: Final answer
    x = 49,639.89

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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.