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Finding the Fourth Proportional to 38,400.03, 52,990.14 and 21,406.14

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Solution

The fourth proportional to 38,400.03, 52,990.14 and 21,406.14 is: 29,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.03 : 52,990.14 = 21,406.14 : x
  2. Step 2: Convert to fraction form
    38,400.03/52,990.14 = 21,406.14/x
  3. Step 3: Cross multiply
    38,400.03x = 52,990.14 × 21,406.14
  4. Step 4: Simplify right side
    38,400.03x = 1,134,314,355.46
  5. Step 5: Solve for x
    x = 1,134,314,355.46/38,400.03
  6. Step 6: Final answer
    x = 29,539.41

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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.