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Finding the Fourth Proportional to 38,971.50, 53,785.94 and 21,979.24

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Solution

The fourth proportional to 38,971.50, 53,785.94 and 21,979.24 is: 30,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.50 : 53,785.94 = 21,979.24 : x
  2. Step 2: Convert to fraction form
    38,971.50/53,785.94 = 21,979.24/x
  3. Step 3: Cross multiply
    38,971.50x = 53,785.94 × 21,979.24
  4. Step 4: Simplify right side
    38,971.50x = 1,182,174,083.89
  5. Step 5: Solve for x
    x = 1,182,174,083.89/38,971.50
  6. Step 6: Final answer
    x = 30,334.32

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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.