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Finding the Fourth Proportional to 46,514.83, 69,785.47 and 22,829.50

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Solution

The fourth proportional to 46,514.83, 69,785.47 and 22,829.50 is: 34,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,514.83 : 69,785.47 = 22,829.50 : x
  2. Step 2: Convert to fraction form
    46,514.83/69,785.47 = 22,829.50/x
  3. Step 3: Cross multiply
    46,514.83x = 69,785.47 × 22,829.50
  4. Step 4: Simplify right side
    46,514.83x = 1,593,167,174.80
  5. Step 5: Solve for x
    x = 1,593,167,174.80/46,514.83
  6. Step 6: Final answer
    x = 34,250.73

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