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Finding the Fourth Proportional to 125,764.24, 188,642.40 and 46,879.24

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Solution

The fourth proportional to 125,764.24, 188,642.40 and 46,879.24 is: 70,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,764.24 : 188,642.40 = 46,879.24 : x
  2. Step 2: Convert to fraction form
    125,764.24/188,642.40 = 46,879.24/x
  3. Step 3: Cross multiply
    125,764.24x = 188,642.40 × 46,879.24
  4. Step 4: Simplify right side
    125,764.24x = 8,843,412,343.78
  5. Step 5: Solve for x
    x = 8,843,412,343.78/125,764.24
  6. Step 6: Final answer
    x = 70,317.38

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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.