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Finding the Fourth Proportional to 84,759, 116,971.07 and 47,033.25

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Solution

The fourth proportional to 84,759, 116,971.07 and 47,033.25 is: 64,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,759 : 116,971.07 = 47,033.25 : x
  2. Step 2: Convert to fraction form
    84,759/116,971.07 = 47,033.25/x
  3. Step 3: Cross multiply
    84,759x = 116,971.07 × 47,033.25
  4. Step 4: Simplify right side
    84,759x = 5,501,529,342.91
  5. Step 5: Solve for x
    x = 5,501,529,342.91/84,759
  6. Step 6: Final answer
    x = 64,907.91

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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.