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Finding the Fourth Proportional to 84,833, 117,074.40 and 47,109.68

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Solution

The fourth proportional to 84,833, 117,074.40 and 47,109.68 is: 65,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,833 : 117,074.40 = 47,109.68 : x
  2. Step 2: Convert to fraction form
    84,833/117,074.40 = 47,109.68/x
  3. Step 3: Cross multiply
    84,833x = 117,074.40 × 47,109.68
  4. Step 4: Simplify right side
    84,833x = 5,515,337,520.19
  5. Step 5: Solve for x
    x = 5,515,337,520.19/84,833
  6. Step 6: Final answer
    x = 65,014.06

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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.