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Finding the Fourth Proportional to 84,322.44, 116,355.06 and 46,594.44

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Solution

The fourth proportional to 84,322.44, 116,355.06 and 46,594.44 is: 64,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,322.44 : 116,355.06 = 46,594.44 : x
  2. Step 2: Convert to fraction form
    84,322.44/116,355.06 = 46,594.44/x
  3. Step 3: Cross multiply
    84,322.44x = 116,355.06 × 46,594.44
  4. Step 4: Simplify right side
    84,322.44x = 5,421,498,861.87
  5. Step 5: Solve for x
    x = 5,421,498,861.87/84,322.44
  6. Step 6: Final answer
    x = 64,294.85

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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.