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Finding the Fourth Proportional to 77,924.70, 107,522.43 and 46,081.98

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Solution

The fourth proportional to 77,924.70, 107,522.43 and 46,081.98 is: 63,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924.70 : 107,522.43 = 46,081.98 : x
  2. Step 2: Convert to fraction form
    77,924.70/107,522.43 = 46,081.98/x
  3. Step 3: Cross multiply
    77,924.70x = 107,522.43 × 46,081.98
  4. Step 4: Simplify right side
    77,924.70x = 4,954,846,468.81
  5. Step 5: Solve for x
    x = 4,954,846,468.81/77,924.70
  6. Step 6: Final answer
    x = 63,585.06

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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.