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Finding the Fourth Proportional to 38,970.26, 53,776.94 and 21,974.03

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Solution

The fourth proportional to 38,970.26, 53,776.94 and 21,974.03 is: 30,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.26 : 53,776.94 = 21,974.03 : x
  2. Step 2: Convert to fraction form
    38,970.26/53,776.94 = 21,974.03/x
  3. Step 3: Cross multiply
    38,970.26x = 53,776.94 × 21,974.03
  4. Step 4: Simplify right side
    38,970.26x = 1,181,695,714.11
  5. Step 5: Solve for x
    x = 1,181,695,714.11/38,970.26
  6. Step 6: Final answer
    x = 30,323.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.