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Finding the Fourth Proportional to 32,538.16, 44,903.69 and 21,214.96

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Solution

The fourth proportional to 32,538.16, 44,903.69 and 21,214.96 is: 29,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.16 : 44,903.69 = 21,214.96 : x
  2. Step 2: Convert to fraction form
    32,538.16/44,903.69 = 21,214.96/x
  3. Step 3: Cross multiply
    32,538.16x = 44,903.69 × 21,214.96
  4. Step 4: Simplify right side
    32,538.16x = 952,629,987.20
  5. Step 5: Solve for x
    x = 952,629,987.20/32,538.16
  6. Step 6: Final answer
    x = 29,277.32

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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.