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Finding the Fourth Proportional to 31,622.34, 47,442.18 and 9,436.44

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Solution

The fourth proportional to 31,622.34, 47,442.18 and 9,436.44 is: 14,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622.34 : 47,442.18 = 9,436.44 : x
  2. Step 2: Convert to fraction form
    31,622.34/47,442.18 = 9,436.44/x
  3. Step 3: Cross multiply
    31,622.34x = 47,442.18 × 9,436.44
  4. Step 4: Simplify right side
    31,622.34x = 447,685,285.04
  5. Step 5: Solve for x
    x = 447,685,285.04/31,622.34
  6. Step 6: Final answer
    x = 14,157.25

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