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Finding the Fourth Proportional to 30,080.50, 45,120.75 and 8,192.50

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Solution

The fourth proportional to 30,080.50, 45,120.75 and 8,192.50 is: 12,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080.50 : 45,120.75 = 8,192.50 : x
  2. Step 2: Convert to fraction form
    30,080.50/45,120.75 = 8,192.50/x
  3. Step 3: Cross multiply
    30,080.50x = 45,120.75 × 8,192.50
  4. Step 4: Simplify right side
    30,080.50x = 369,651,744.38
  5. Step 5: Solve for x
    x = 369,651,744.38/30,080.50
  6. Step 6: Final answer
    x = 12,288.75

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1.5x scale

Why These Related Problems?

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