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Finding the Fourth Proportional to 84,394.80, 116,462.52 and 46,667.76

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Solution

The fourth proportional to 84,394.80, 116,462.52 and 46,667.76 is: 64,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,394.80 : 116,462.52 = 46,667.76 : x
  2. Step 2: Convert to fraction form
    84,394.80/116,462.52 = 46,667.76/x
  3. Step 3: Cross multiply
    84,394.80x = 116,462.52 × 46,667.76
  4. Step 4: Simplify right side
    84,394.80x = 5,435,044,932.36
  5. Step 5: Solve for x
    x = 5,435,044,932.36/84,394.80
  6. Step 6: Final answer
    x = 64,400.23

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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.