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Finding the Fourth Proportional to 32,283.26, 48,427.67 and 8,909.70

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Solution

The fourth proportional to 32,283.26, 48,427.67 and 8,909.70 is: 13,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.26 : 48,427.67 = 8,909.70 : x
  2. Step 2: Convert to fraction form
    32,283.26/48,427.67 = 8,909.70/x
  3. Step 3: Cross multiply
    32,283.26x = 48,427.67 × 8,909.70
  4. Step 4: Simplify right side
    32,283.26x = 431,475,852.07
  5. Step 5: Solve for x
    x = 431,475,852.07/32,283.26
  6. Step 6: Final answer
    x = 13,365.31

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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.