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Finding the Fourth Proportional to 27,706.70, 41,551.95 and 9,935.30

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Solution

The fourth proportional to 27,706.70, 41,551.95 and 9,935.30 is: 14,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.70 : 41,551.95 = 9,935.30 : x
  2. Step 2: Convert to fraction form
    27,706.70/41,551.95 = 9,935.30/x
  3. Step 3: Cross multiply
    27,706.70x = 41,551.95 × 9,935.30
  4. Step 4: Simplify right side
    27,706.70x = 412,831,088.84
  5. Step 5: Solve for x
    x = 412,831,088.84/27,706.70
  6. Step 6: Final answer
    x = 14,900.05

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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.