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Finding the Fourth Proportional to 29,810.88, 44,724.06 and 13,174.56

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Solution

The fourth proportional to 29,810.88, 44,724.06 and 13,174.56 is: 19,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.88 : 44,724.06 = 13,174.56 : x
  2. Step 2: Convert to fraction form
    29,810.88/44,724.06 = 13,174.56/x
  3. Step 3: Cross multiply
    29,810.88x = 44,724.06 × 13,174.56
  4. Step 4: Simplify right side
    29,810.88x = 589,219,811.91
  5. Step 5: Solve for x
    x = 589,219,811.91/29,810.88
  6. Step 6: Final answer
    x = 19,765.26

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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.