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Finding the Fourth Proportional to 84,625, 116,782.50 and 46,901.68

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Solution

The fourth proportional to 84,625, 116,782.50 and 46,901.68 is: 64,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,625 : 116,782.50 = 46,901.68 : x
  2. Step 2: Convert to fraction form
    84,625/116,782.50 = 46,901.68/x
  3. Step 3: Cross multiply
    84,625x = 116,782.50 × 46,901.68
  4. Step 4: Simplify right side
    84,625x = 5,477,295,444.60
  5. Step 5: Solve for x
    x = 5,477,295,444.60/84,625
  6. Step 6: Final answer
    x = 64,724.32

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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.