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Finding the Fourth Proportional to 34,381.64, 47,435.46 and 20,038.20

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Solution

The fourth proportional to 34,381.64, 47,435.46 and 20,038.20 is: 27,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381.64 : 47,435.46 = 20,038.20 : x
  2. Step 2: Convert to fraction form
    34,381.64/47,435.46 = 20,038.20/x
  3. Step 3: Cross multiply
    34,381.64x = 47,435.46 × 20,038.20
  4. Step 4: Simplify right side
    34,381.64x = 950,521,234.57
  5. Step 5: Solve for x
    x = 950,521,234.57/34,381.64
  6. Step 6: Final answer
    x = 27,646.19

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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.