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Finding the Fourth Proportional to 38,405.36, 52,999.08 and 21,409.40

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Solution

The fourth proportional to 38,405.36, 52,999.08 and 21,409.40 is: 29,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.36 : 52,999.08 = 21,409.40 : x
  2. Step 2: Convert to fraction form
    38,405.36/52,999.08 = 21,409.40/x
  3. Step 3: Cross multiply
    38,405.36x = 52,999.08 × 21,409.40
  4. Step 4: Simplify right side
    38,405.36x = 1,134,678,503.35
  5. Step 5: Solve for x
    x = 1,134,678,503.35/38,405.36
  6. Step 6: Final answer
    x = 29,544.80

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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.