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Finding the Fourth Proportional to 36,538.61, 54,804.33 and 24,768

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Solution

The fourth proportional to 36,538.61, 54,804.33 and 24,768 is: 37,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538.61 : 54,804.33 = 24,768 : x
  2. Step 2: Convert to fraction form
    36,538.61/54,804.33 = 24,768/x
  3. Step 3: Cross multiply
    36,538.61x = 54,804.33 × 24,768
  4. Step 4: Simplify right side
    36,538.61x = 1,357,393,645.44
  5. Step 5: Solve for x
    x = 1,357,393,645.44/36,538.61
  6. Step 6: Final answer
    x = 37,149.57

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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.