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Finding the Fourth Proportional to 30,511.40, 42,076.15 and 23,794.58

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Solution

The fourth proportional to 30,511.40, 42,076.15 and 23,794.58 is: 32,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.40 : 42,076.15 = 23,794.58 : x
  2. Step 2: Convert to fraction form
    30,511.40/42,076.15 = 23,794.58/x
  3. Step 3: Cross multiply
    30,511.40x = 42,076.15 × 23,794.58
  4. Step 4: Simplify right side
    30,511.40x = 1,001,184,317.27
  5. Step 5: Solve for x
    x = 1,001,184,317.27/30,511.40
  6. Step 6: Final answer
    x = 32,813.45

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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.