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Finding the Fourth Proportional to 32,684, 45,103.92 and 17,780

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Solution

The fourth proportional to 32,684, 45,103.92 and 17,780 is: 24,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684 : 45,103.92 = 17,780 : x
  2. Step 2: Convert to fraction form
    32,684/45,103.92 = 17,780/x
  3. Step 3: Cross multiply
    32,684x = 45,103.92 × 17,780
  4. Step 4: Simplify right side
    32,684x = 801,947,697.60
  5. Step 5: Solve for x
    x = 801,947,697.60/32,684
  6. Step 6: Final answer
    x = 24,536.40

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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.