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Finding the Fourth Proportional to 38,697.82, 53,403.60 and 21,705.84

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Solution

The fourth proportional to 38,697.82, 53,403.60 and 21,705.84 is: 29,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,697.82 : 53,403.60 = 21,705.84 : x
  2. Step 2: Convert to fraction form
    38,697.82/53,403.60 = 21,705.84/x
  3. Step 3: Cross multiply
    38,697.82x = 53,403.60 × 21,705.84
  4. Step 4: Simplify right side
    38,697.82x = 1,159,169,997.02
  5. Step 5: Solve for x
    x = 1,159,169,997.02/38,697.82
  6. Step 6: Final answer
    x = 29,954.40

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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.