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Finding the Fourth Proportional to 38,419.86, 53,017.80 and 21,423.18

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Solution

The fourth proportional to 38,419.86, 53,017.80 and 21,423.18 is: 29,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.86 : 53,017.80 = 21,423.18 : x
  2. Step 2: Convert to fraction form
    38,419.86/53,017.80 = 21,423.18/x
  3. Step 3: Cross multiply
    38,419.86x = 53,017.80 × 21,423.18
  4. Step 4: Simplify right side
    38,419.86x = 1,135,809,872.60
  5. Step 5: Solve for x
    x = 1,135,809,872.60/38,419.86
  6. Step 6: Final answer
    x = 29,563.09

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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.