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Finding the Fourth Proportional to 59,921.82, 82,653.75 and 36,055.98

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Solution

The fourth proportional to 59,921.82, 82,653.75 and 36,055.98 is: 49,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,921.82 : 82,653.75 = 36,055.98 : x
  2. Step 2: Convert to fraction form
    59,921.82/82,653.75 = 36,055.98/x
  3. Step 3: Cross multiply
    59,921.82x = 82,653.75 × 36,055.98
  4. Step 4: Simplify right side
    59,921.82x = 2,980,161,956.93
  5. Step 5: Solve for x
    x = 2,980,161,956.93/59,921.82
  6. Step 6: Final answer
    x = 49,734.17

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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.