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Finding the Fourth Proportional to 51,458.37, 77,185.22 and 21,460.23

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Solution

The fourth proportional to 51,458.37, 77,185.22 and 21,460.23 is: 32,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458.37 : 77,185.22 = 21,460.23 : x
  2. Step 2: Convert to fraction form
    51,458.37/77,185.22 = 21,460.23/x
  3. Step 3: Cross multiply
    51,458.37x = 77,185.22 × 21,460.23
  4. Step 4: Simplify right side
    51,458.37x = 1,656,412,466.50
  5. Step 5: Solve for x
    x = 1,656,412,466.50/51,458.37
  6. Step 6: Final answer
    x = 32,189.37

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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.