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Finding the Fourth Proportional to 30,476.70, 42,083.78 and 19,165.10

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Solution

The fourth proportional to 30,476.70, 42,083.78 and 19,165.10 is: 26,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.70 : 42,083.78 = 19,165.10 : x
  2. Step 2: Convert to fraction form
    30,476.70/42,083.78 = 19,165.10/x
  3. Step 3: Cross multiply
    30,476.70x = 42,083.78 × 19,165.10
  4. Step 4: Simplify right side
    30,476.70x = 806,539,545.83
  5. Step 5: Solve for x
    x = 806,539,545.83/30,476.70
  6. Step 6: Final answer
    x = 26,464.14

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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.