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Finding the Fourth Proportional to 37,993, 52,430.36 and 21,226

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Solution

The fourth proportional to 37,993, 52,430.36 and 21,226 is: 29,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,993 : 52,430.36 = 21,226 : x
  2. Step 2: Convert to fraction form
    37,993/52,430.36 = 21,226/x
  3. Step 3: Cross multiply
    37,993x = 52,430.36 × 21,226
  4. Step 4: Simplify right side
    37,993x = 1,112,886,821.36
  5. Step 5: Solve for x
    x = 1,112,886,821.36/37,993
  6. Step 6: Final answer
    x = 29,291.89

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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.