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Finding the Fourth Proportional to 82,322.92, 113,594.77 and 52,054.84

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Solution

The fourth proportional to 82,322.92, 113,594.77 and 52,054.84 is: 71,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322.92 : 113,594.77 = 52,054.84 : x
  2. Step 2: Convert to fraction form
    82,322.92/113,594.77 = 52,054.84/x
  3. Step 3: Cross multiply
    82,322.92x = 113,594.77 × 52,054.84
  4. Step 4: Simplify right side
    82,322.92x = 5,913,157,577.19
  5. Step 5: Solve for x
    x = 5,913,157,577.19/82,322.92
  6. Step 6: Final answer
    x = 71,828.81

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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.