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Finding the Fourth Proportional to 85,098.85, 117,435.42 and 46,857.60

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Solution

The fourth proportional to 85,098.85, 117,435.42 and 46,857.60 is: 64,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098.85 : 117,435.42 = 46,857.60 : x
  2. Step 2: Convert to fraction form
    85,098.85/117,435.42 = 46,857.60/x
  3. Step 3: Cross multiply
    85,098.85x = 117,435.42 × 46,857.60
  4. Step 4: Simplify right side
    85,098.85x = 5,502,741,936.19
  5. Step 5: Solve for x
    x = 5,502,741,936.19/85,098.85
  6. Step 6: Final answer
    x = 64,662.94

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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.