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Finding the Fourth Proportional to 27,852.50, 41,785.23 and 9,384.50

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Solution

The fourth proportional to 27,852.50, 41,785.23 and 9,384.50 is: 14,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.50 : 41,785.23 = 9,384.50 : x
  2. Step 2: Convert to fraction form
    27,852.50/41,785.23 = 9,384.50/x
  3. Step 3: Cross multiply
    27,852.50x = 41,785.23 × 9,384.50
  4. Step 4: Simplify right side
    27,852.50x = 392,133,490.94
  5. Step 5: Solve for x
    x = 392,133,490.94/27,852.50
  6. Step 6: Final answer
    x = 14,078.93

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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.