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Finding the Fourth Proportional to 54,089.19, 74,642.90 and 29,889.48

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Solution

The fourth proportional to 54,089.19, 74,642.90 and 29,889.48 is: 41,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,089.19 : 74,642.90 = 29,889.48 : x
  2. Step 2: Convert to fraction form
    54,089.19/74,642.90 = 29,889.48/x
  3. Step 3: Cross multiply
    54,089.19x = 74,642.90 × 29,889.48
  4. Step 4: Simplify right side
    54,089.19x = 2,231,037,317.24
  5. Step 5: Solve for x
    x = 2,231,037,317.24/54,089.19
  6. Step 6: Final answer
    x = 41,247.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.