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Finding the Fourth Proportional to 34,415.30, 47,496.35 and 20,074.02

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Solution

The fourth proportional to 34,415.30, 47,496.35 and 20,074.02 is: 27,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.30 : 47,496.35 = 20,074.02 : x
  2. Step 2: Convert to fraction form
    34,415.30/47,496.35 = 20,074.02/x
  3. Step 3: Cross multiply
    34,415.30x = 47,496.35 × 20,074.02
  4. Step 4: Simplify right side
    34,415.30x = 953,442,579.46
  5. Step 5: Solve for x
    x = 953,442,579.46/34,415.30
  6. Step 6: Final answer
    x = 27,704.04

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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.