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Finding the Fourth Proportional to 34,589.64, 47,734.44 and 19,482

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Solution

The fourth proportional to 34,589.64, 47,734.44 and 19,482 is: 26,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589.64 : 47,734.44 = 19,482 : x
  2. Step 2: Convert to fraction form
    34,589.64/47,734.44 = 19,482/x
  3. Step 3: Cross multiply
    34,589.64x = 47,734.44 × 19,482
  4. Step 4: Simplify right side
    34,589.64x = 929,962,360.08
  5. Step 5: Solve for x
    x = 929,962,360.08/34,589.64
  6. Step 6: Final answer
    x = 26,885.57

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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.