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Finding the Fourth Proportional to 125,704.58, 188,558.89 and 30,935.05

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Solution

The fourth proportional to 125,704.58, 188,558.89 and 30,935.05 is: 46,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,704.58 : 188,558.89 = 30,935.05 : x
  2. Step 2: Convert to fraction form
    125,704.58/188,558.89 = 30,935.05/x
  3. Step 3: Cross multiply
    125,704.58x = 188,558.89 × 30,935.05
  4. Step 4: Simplify right side
    125,704.58x = 5,833,078,141.36
  5. Step 5: Solve for x
    x = 5,833,078,141.36/125,704.58
  6. Step 6: Final answer
    x = 46,403.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.