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Finding the Fourth Proportional to 30,476.81, 42,083.96 and 19,165.24

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Solution

The fourth proportional to 30,476.81, 42,083.96 and 19,165.24 is: 26,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.81 : 42,083.96 = 19,165.24 : x
  2. Step 2: Convert to fraction form
    30,476.81/42,083.96 = 19,165.24/x
  3. Step 3: Cross multiply
    30,476.81x = 42,083.96 × 19,165.24
  4. Step 4: Simplify right side
    30,476.81x = 806,549,193.55
  5. Step 5: Solve for x
    x = 806,549,193.55/30,476.81
  6. Step 6: Final answer
    x = 26,464.36

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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.