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Finding the Fourth Proportional to 84,411.12, 116,487.36 and 50,883.60

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Solution

The fourth proportional to 84,411.12, 116,487.36 and 50,883.60 is: 70,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,411.12 : 116,487.36 = 50,883.60 : x
  2. Step 2: Convert to fraction form
    84,411.12/116,487.36 = 50,883.60/x
  3. Step 3: Cross multiply
    84,411.12x = 116,487.36 × 50,883.60
  4. Step 4: Simplify right side
    84,411.12x = 5,927,296,231.30
  5. Step 5: Solve for x
    x = 5,927,296,231.30/84,411.12
  6. Step 6: Final answer
    x = 70,219.38

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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.