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Finding the Fourth Proportional to 34,735.58, 47,946 and 22,160.32

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Solution

The fourth proportional to 34,735.58, 47,946 and 22,160.32 is: 30,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.58 : 47,946 = 22,160.32 : x
  2. Step 2: Convert to fraction form
    34,735.58/47,946 = 22,160.32/x
  3. Step 3: Cross multiply
    34,735.58x = 47,946 × 22,160.32
  4. Step 4: Simplify right side
    34,735.58x = 1,062,498,702.72
  5. Step 5: Solve for x
    x = 1,062,498,702.72/34,735.58
  6. Step 6: Final answer
    x = 30,588.20

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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.