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Finding the Fourth Proportional to 62,146.29, 85,762.80 and 33,852

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Solution

The fourth proportional to 62,146.29, 85,762.80 and 33,852 is: 46,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,146.29 : 85,762.80 = 33,852 : x
  2. Step 2: Convert to fraction form
    62,146.29/85,762.80 = 33,852/x
  3. Step 3: Cross multiply
    62,146.29x = 85,762.80 × 33,852
  4. Step 4: Simplify right side
    62,146.29x = 2,903,242,305.60
  5. Step 5: Solve for x
    x = 2,903,242,305.60/62,146.29
  6. Step 6: Final answer
    x = 46,716.26

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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.