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Finding the Fourth Proportional to 32,412.22, 44,741.17 and 21,808

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Solution

The fourth proportional to 32,412.22, 44,741.17 and 21,808 is: 30,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.22 : 44,741.17 = 21,808 : x
  2. Step 2: Convert to fraction form
    32,412.22/44,741.17 = 21,808/x
  3. Step 3: Cross multiply
    32,412.22x = 44,741.17 × 21,808
  4. Step 4: Simplify right side
    32,412.22x = 975,715,435.36
  5. Step 5: Solve for x
    x = 975,715,435.36/32,412.22
  6. Step 6: Final answer
    x = 30,103.32

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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.