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Finding the Fourth Proportional to 83,956.54, 115,859.49 and 46,230.50

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Solution

The fourth proportional to 83,956.54, 115,859.49 and 46,230.50 is: 63,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,956.54 : 115,859.49 = 46,230.50 : x
  2. Step 2: Convert to fraction form
    83,956.54/115,859.49 = 46,230.50/x
  3. Step 3: Cross multiply
    83,956.54x = 115,859.49 × 46,230.50
  4. Step 4: Simplify right side
    83,956.54x = 5,356,242,152.45
  5. Step 5: Solve for x
    x = 5,356,242,152.45/83,956.54
  6. Step 6: Final answer
    x = 63,797.80

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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.