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Finding the Fourth Proportional to 84,188.50, 116,181.75 and 46,461.94

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Solution

The fourth proportional to 84,188.50, 116,181.75 and 46,461.94 is: 64,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,188.50 : 116,181.75 = 46,461.94 : x
  2. Step 2: Convert to fraction form
    84,188.50/116,181.75 = 46,461.94/x
  3. Step 3: Cross multiply
    84,188.50x = 116,181.75 × 46,461.94
  4. Step 4: Simplify right side
    84,188.50x = 5,398,029,497.60
  5. Step 5: Solve for x
    x = 5,398,029,497.60/84,188.50
  6. Step 6: Final answer
    x = 64,118.37

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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.