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Finding the Fourth Proportional to 19,751.50, 29,632.11 and 5,900.50

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Solution

The fourth proportional to 19,751.50, 29,632.11 and 5,900.50 is: 8,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.50 : 29,632.11 = 5,900.50 : x
  2. Step 2: Convert to fraction form
    19,751.50/29,632.11 = 5,900.50/x
  3. Step 3: Cross multiply
    19,751.50x = 29,632.11 × 5,900.50
  4. Step 4: Simplify right side
    19,751.50x = 174,844,265.06
  5. Step 5: Solve for x
    x = 174,844,265.06/19,751.50
  6. Step 6: Final answer
    x = 8,852.20

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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.