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Finding the Fourth Proportional to 32,412.60, 44,741.68 and 21,808.38

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Solution

The fourth proportional to 32,412.60, 44,741.68 and 21,808.38 is: 30,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.60 : 44,741.68 = 21,808.38 : x
  2. Step 2: Convert to fraction form
    32,412.60/44,741.68 = 21,808.38/x
  3. Step 3: Cross multiply
    32,412.60x = 44,741.68 × 21,808.38
  4. Step 4: Simplify right side
    32,412.60x = 975,743,559.28
  5. Step 5: Solve for x
    x = 975,743,559.28/32,412.60
  6. Step 6: Final answer
    x = 30,103.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.