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Finding the Fourth Proportional to 86,844, 119,844.96 and 47,100

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Solution

The fourth proportional to 86,844, 119,844.96 and 47,100 is: 64,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,844 : 119,844.96 = 47,100 : x
  2. Step 2: Convert to fraction form
    86,844/119,844.96 = 47,100/x
  3. Step 3: Cross multiply
    86,844x = 119,844.96 × 47,100
  4. Step 4: Simplify right side
    86,844x = 5,644,697,616
  5. Step 5: Solve for x
    x = 5,644,697,616/86,844
  6. Step 6: Final answer
    x = 64,998.13

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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.