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Finding the Fourth Proportional to 84,077, 116,023.38 and 46,349

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Solution

The fourth proportional to 84,077, 116,023.38 and 46,349 is: 63,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,077 : 116,023.38 = 46,349 : x
  2. Step 2: Convert to fraction form
    84,077/116,023.38 = 46,349/x
  3. Step 3: Cross multiply
    84,077x = 116,023.38 × 46,349
  4. Step 4: Simplify right side
    84,077x = 5,377,567,639.62
  5. Step 5: Solve for x
    x = 5,377,567,639.62/84,077
  6. Step 6: Final answer
    x = 63,960.03

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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.