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Finding the Fourth Proportional to 30,701.16, 46,047.16 and 8,512.22

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Solution

The fourth proportional to 30,701.16, 46,047.16 and 8,512.22 is: 12,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.16 : 46,047.16 = 8,512.22 : x
  2. Step 2: Convert to fraction form
    30,701.16/46,047.16 = 8,512.22/x
  3. Step 3: Cross multiply
    30,701.16x = 46,047.16 × 8,512.22
  4. Step 4: Simplify right side
    30,701.16x = 391,963,556.30
  5. Step 5: Solve for x
    x = 391,963,556.30/30,701.16
  6. Step 6: Final answer
    x = 12,767.06

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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.