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Finding the Fourth Proportional to 101,674.50, 152,511.78 and 27,802.50

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Solution

The fourth proportional to 101,674.50, 152,511.78 and 27,802.50 is: 41,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,674.50 : 152,511.78 = 27,802.50 : x
  2. Step 2: Convert to fraction form
    101,674.50/152,511.78 = 27,802.50/x
  3. Step 3: Cross multiply
    101,674.50x = 152,511.78 × 27,802.50
  4. Step 4: Simplify right side
    101,674.50x = 4,240,208,763.45
  5. Step 5: Solve for x
    x = 4,240,208,763.45/101,674.50
  6. Step 6: Final answer
    x = 41,703.76

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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.