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Finding the Fourth Proportional to 34,577.64, 47,709.54 and 20,423.16

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Solution

The fourth proportional to 34,577.64, 47,709.54 and 20,423.16 is: 28,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,577.64 : 47,709.54 = 20,423.16 : x
  2. Step 2: Convert to fraction form
    34,577.64/47,709.54 = 20,423.16/x
  3. Step 3: Cross multiply
    34,577.64x = 47,709.54 × 20,423.16
  4. Step 4: Simplify right side
    34,577.64x = 974,379,568.95
  5. Step 5: Solve for x
    x = 974,379,568.95/34,577.64
  6. Step 6: Final answer
    x = 28,179.47

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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.