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Finding the Fourth Proportional to 38,970.72, 53,782.85 and 21,974.09

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Solution

The fourth proportional to 38,970.72, 53,782.85 and 21,974.09 is: 30,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.72 : 53,782.85 = 21,974.09 : x
  2. Step 2: Convert to fraction form
    38,970.72/53,782.85 = 21,974.09/x
  3. Step 3: Cross multiply
    38,970.72x = 53,782.85 × 21,974.09
  4. Step 4: Simplify right side
    38,970.72x = 1,181,828,972.38
  5. Step 5: Solve for x
    x = 1,181,828,972.38/38,970.72
  6. Step 6: Final answer
    x = 30,326.07

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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.