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Finding the Fourth Proportional to 37,091, 51,185.60 and 20,324

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Solution

The fourth proportional to 37,091, 51,185.60 and 20,324 is: 28,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091 : 51,185.60 = 20,324 : x
  2. Step 2: Convert to fraction form
    37,091/51,185.60 = 20,324/x
  3. Step 3: Cross multiply
    37,091x = 51,185.60 × 20,324
  4. Step 4: Simplify right side
    37,091x = 1,040,296,134.40
  5. Step 5: Solve for x
    x = 1,040,296,134.40/37,091
  6. Step 6: Final answer
    x = 28,047.13

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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.