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Finding the Fourth Proportional to 54,742.52, 75,544.74 and 29,592

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Solution

The fourth proportional to 54,742.52, 75,544.74 and 29,592 is: 40,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.52 : 75,544.74 = 29,592 : x
  2. Step 2: Convert to fraction form
    54,742.52/75,544.74 = 29,592/x
  3. Step 3: Cross multiply
    54,742.52x = 75,544.74 × 29,592
  4. Step 4: Simplify right side
    54,742.52x = 2,235,519,946.08
  5. Step 5: Solve for x
    x = 2,235,519,946.08/54,742.52
  6. Step 6: Final answer
    x = 40,836.99

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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.