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Finding the Fourth Proportional to 37,010, 51,073.80 and 20,243

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Solution

The fourth proportional to 37,010, 51,073.80 and 20,243 is: 27,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,010 : 51,073.80 = 20,243 : x
  2. Step 2: Convert to fraction form
    37,010/51,073.80 = 20,243/x
  3. Step 3: Cross multiply
    37,010x = 51,073.80 × 20,243
  4. Step 4: Simplify right side
    37,010x = 1,033,886,933.40
  5. Step 5: Solve for x
    x = 1,033,886,933.40/37,010
  6. Step 6: Final answer
    x = 27,935.34

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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.