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Finding the Fourth Proportional to 46,512, 69,767.76 and 25,779.36

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Solution

The fourth proportional to 46,512, 69,767.76 and 25,779.36 is: 38,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512 : 69,767.76 = 25,779.36 : x
  2. Step 2: Convert to fraction form
    46,512/69,767.76 = 25,779.36/x
  3. Step 3: Cross multiply
    46,512x = 69,767.76 × 25,779.36
  4. Step 4: Simplify right side
    46,512x = 1,798,568,201.43
  5. Step 5: Solve for x
    x = 1,798,568,201.43/46,512
  6. Step 6: Final answer
    x = 38,668.91

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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.