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Finding the Fourth Proportional to 30,959.76, 46,433.72 and 8,767.80

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Solution

The fourth proportional to 30,959.76, 46,433.72 and 8,767.80 is: 13,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.76 : 46,433.72 = 8,767.80 : x
  2. Step 2: Convert to fraction form
    30,959.76/46,433.72 = 8,767.80/x
  3. Step 3: Cross multiply
    30,959.76x = 46,433.72 × 8,767.80
  4. Step 4: Simplify right side
    30,959.76x = 407,121,570.22
  5. Step 5: Solve for x
    x = 407,121,570.22/30,959.76
  6. Step 6: Final answer
    x = 13,150.02

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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.