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Finding the Fourth Proportional to 61,142.96, 84,361.26 and 35,295.16

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Solution

The fourth proportional to 61,142.96, 84,361.26 and 35,295.16 is: 48,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.96 : 84,361.26 = 35,295.16 : x
  2. Step 2: Convert to fraction form
    61,142.96/84,361.26 = 35,295.16/x
  3. Step 3: Cross multiply
    61,142.96x = 84,361.26 × 35,295.16
  4. Step 4: Simplify right side
    61,142.96x = 2,977,544,169.50
  5. Step 5: Solve for x
    x = 2,977,544,169.50/61,142.96
  6. Step 6: Final answer
    x = 48,698.07

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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.