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Finding the Fourth Proportional to 32,435.84, 44,731.60 and 20,478.40

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Solution

The fourth proportional to 32,435.84, 44,731.60 and 20,478.40 is: 28,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,435.84 : 44,731.60 = 20,478.40 : x
  2. Step 2: Convert to fraction form
    32,435.84/44,731.60 = 20,478.40/x
  3. Step 3: Cross multiply
    32,435.84x = 44,731.60 × 20,478.40
  4. Step 4: Simplify right side
    32,435.84x = 916,031,597.44
  5. Step 5: Solve for x
    x = 916,031,597.44/32,435.84
  6. Step 6: Final answer
    x = 28,241.34

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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.