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Finding the Fourth Proportional to 30,790.48, 46,176 and 13,255.60

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Solution

The fourth proportional to 30,790.48, 46,176 and 13,255.60 is: 19,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.48 : 46,176 = 13,255.60 : x
  2. Step 2: Convert to fraction form
    30,790.48/46,176 = 13,255.60/x
  3. Step 3: Cross multiply
    30,790.48x = 46,176 × 13,255.60
  4. Step 4: Simplify right side
    30,790.48x = 612,090,585.60
  5. Step 5: Solve for x
    x = 612,090,585.60/30,790.48
  6. Step 6: Final answer
    x = 19,879.22

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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.