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Finding the Fourth Proportional to 38,295.34, 57,408.90 and 14,916.40

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Solution

The fourth proportional to 38,295.34, 57,408.90 and 14,916.40 is: 22,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.34 : 57,408.90 = 14,916.40 : x
  2. Step 2: Convert to fraction form
    38,295.34/57,408.90 = 14,916.40/x
  3. Step 3: Cross multiply
    38,295.34x = 57,408.90 × 14,916.40
  4. Step 4: Simplify right side
    38,295.34x = 856,334,115.96
  5. Step 5: Solve for x
    x = 856,334,115.96/38,295.34
  6. Step 6: Final answer
    x = 22,361.31

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Why These Related Problems?

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