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Finding the Fourth Proportional to 38,378.89, 57,551.86 and 13,411.45

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Solution

The fourth proportional to 38,378.89, 57,551.86 and 13,411.45 is: 20,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.89 : 57,551.86 = 13,411.45 : x
  2. Step 2: Convert to fraction form
    38,378.89/57,551.86 = 13,411.45/x
  3. Step 3: Cross multiply
    38,378.89x = 57,551.86 × 13,411.45
  4. Step 4: Simplify right side
    38,378.89x = 771,853,892.80
  5. Step 5: Solve for x
    x = 771,853,892.80/38,378.89
  6. Step 6: Final answer
    x = 20,111.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.