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Finding the Fourth Proportional to 32,357.64, 44,680.50 and 21,782.28

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Solution

The fourth proportional to 32,357.64, 44,680.50 and 21,782.28 is: 30,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.64 : 44,680.50 = 21,782.28 : x
  2. Step 2: Convert to fraction form
    32,357.64/44,680.50 = 21,782.28/x
  3. Step 3: Cross multiply
    32,357.64x = 44,680.50 × 21,782.28
  4. Step 4: Simplify right side
    32,357.64x = 973,243,161.54
  5. Step 5: Solve for x
    x = 973,243,161.54/32,357.64
  6. Step 6: Final answer
    x = 30,077.69

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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.