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Finding the Fourth Proportional to 30,433.96, 42,005.88 and 19,805.14

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Solution

The fourth proportional to 30,433.96, 42,005.88 and 19,805.14 is: 27,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.96 : 42,005.88 = 19,805.14 : x
  2. Step 2: Convert to fraction form
    30,433.96/42,005.88 = 19,805.14/x
  3. Step 3: Cross multiply
    30,433.96x = 42,005.88 × 19,805.14
  4. Step 4: Simplify right side
    30,433.96x = 831,932,334.22
  5. Step 5: Solve for x
    x = 831,932,334.22/30,433.96
  6. Step 6: Final answer
    x = 27,335.66

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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.