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Finding the Fourth Proportional to 51,468.69, 71,071.12 and 32,380.28

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Solution

The fourth proportional to 51,468.69, 71,071.12 and 32,380.28 is: 44,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,468.69 : 71,071.12 = 32,380.28 : x
  2. Step 2: Convert to fraction form
    51,468.69/71,071.12 = 32,380.28/x
  3. Step 3: Cross multiply
    51,468.69x = 71,071.12 × 32,380.28
  4. Step 4: Simplify right side
    51,468.69x = 2,301,302,917.04
  5. Step 5: Solve for x
    x = 2,301,302,917.04/51,468.69
  6. Step 6: Final answer
    x = 44,712.68

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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.