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Finding the Fourth Proportional to 30,290.88, 45,435.92 and 7,801.44

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Solution

The fourth proportional to 30,290.88, 45,435.92 and 7,801.44 is: 11,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.88 : 45,435.92 = 7,801.44 : x
  2. Step 2: Convert to fraction form
    30,290.88/45,435.92 = 7,801.44/x
  3. Step 3: Cross multiply
    30,290.88x = 45,435.92 × 7,801.44
  4. Step 4: Simplify right side
    30,290.88x = 354,465,564.72
  5. Step 5: Solve for x
    x = 354,465,564.72/30,290.88
  6. Step 6: Final answer
    x = 11,702.06

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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.