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Finding the Fourth Proportional to 38,403.09, 52,994.57 and 21,409.20

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Solution

The fourth proportional to 38,403.09, 52,994.57 and 21,409.20 is: 29,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403.09 : 52,994.57 = 21,409.20 : x
  2. Step 2: Convert to fraction form
    38,403.09/52,994.57 = 21,409.20/x
  3. Step 3: Cross multiply
    38,403.09x = 52,994.57 × 21,409.20
  4. Step 4: Simplify right side
    38,403.09x = 1,134,571,241.00
  5. Step 5: Solve for x
    x = 1,134,571,241.00/38,403.09
  6. Step 6: Final answer
    x = 29,543.75

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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.