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Finding the Fourth Proportional to 33,000.30, 49,500.45 and 31,056.30

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Solution

The fourth proportional to 33,000.30, 49,500.45 and 31,056.30 is: 46,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.30 : 49,500.45 = 31,056.30 : x
  2. Step 2: Convert to fraction form
    33,000.30/49,500.45 = 31,056.30/x
  3. Step 3: Cross multiply
    33,000.30x = 49,500.45 × 31,056.30
  4. Step 4: Simplify right side
    33,000.30x = 1,537,300,825.34
  5. Step 5: Solve for x
    x = 1,537,300,825.34/33,000.30
  6. Step 6: Final answer
    x = 46,584.45

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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.