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Finding the Fourth Proportional to 30,233.68, 45,350.46 and 8,047.06

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Solution

The fourth proportional to 30,233.68, 45,350.46 and 8,047.06 is: 12,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.68 : 45,350.46 = 8,047.06 : x
  2. Step 2: Convert to fraction form
    30,233.68/45,350.46 = 8,047.06/x
  3. Step 3: Cross multiply
    30,233.68x = 45,350.46 × 8,047.06
  4. Step 4: Simplify right side
    30,233.68x = 364,937,872.65
  5. Step 5: Solve for x
    x = 364,937,872.65/30,233.68
  6. Step 6: Final answer
    x = 12,070.57

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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.