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Finding the Fourth Proportional to 33,117, 49,675.62 and 31,455.96

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Solution

The fourth proportional to 33,117, 49,675.62 and 31,455.96 is: 47,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117 : 49,675.62 = 31,455.96 : x
  2. Step 2: Convert to fraction form
    33,117/49,675.62 = 31,455.96/x
  3. Step 3: Cross multiply
    33,117x = 49,675.62 × 31,455.96
  4. Step 4: Simplify right side
    33,117x = 1,562,594,315.70
  5. Step 5: Solve for x
    x = 1,562,594,315.70/33,117
  6. Step 6: Final answer
    x = 47,184.05

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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.