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Finding the Fourth Proportional to 33,095.40, 49,643.10 and 14,384.40

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Solution

The fourth proportional to 33,095.40, 49,643.10 and 14,384.40 is: 21,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.40 : 49,643.10 = 14,384.40 : x
  2. Step 2: Convert to fraction form
    33,095.40/49,643.10 = 14,384.40/x
  3. Step 3: Cross multiply
    33,095.40x = 49,643.10 × 14,384.40
  4. Step 4: Simplify right side
    33,095.40x = 714,086,207.64
  5. Step 5: Solve for x
    x = 714,086,207.64/33,095.40
  6. Step 6: Final answer
    x = 21,576.60

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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.