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Finding the Fourth Proportional to 30,297.26, 45,445.62 and 7,807.88

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Solution

The fourth proportional to 30,297.26, 45,445.62 and 7,807.88 is: 11,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.26 : 45,445.62 = 7,807.88 : x
  2. Step 2: Convert to fraction form
    30,297.26/45,445.62 = 7,807.88/x
  3. Step 3: Cross multiply
    30,297.26x = 45,445.62 × 7,807.88
  4. Step 4: Simplify right side
    30,297.26x = 354,833,947.49
  5. Step 5: Solve for x
    x = 354,833,947.49/30,297.26
  6. Step 6: Final answer
    x = 11,711.75

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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.