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Finding the Fourth Proportional to 37,975.48, 52,405.91 and 20,980.82

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Solution

The fourth proportional to 37,975.48, 52,405.91 and 20,980.82 is: 28,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,975.48 : 52,405.91 = 20,980.82 : x
  2. Step 2: Convert to fraction form
    37,975.48/52,405.91 = 20,980.82/x
  3. Step 3: Cross multiply
    37,975.48x = 52,405.91 × 20,980.82
  4. Step 4: Simplify right side
    37,975.48x = 1,099,518,964.65
  5. Step 5: Solve for x
    x = 1,099,518,964.65/37,975.48
  6. Step 6: Final answer
    x = 28,953.39

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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.