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Finding the Fourth Proportional to 30,892.80, 46,382.40 and 19,228.80

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Solution

The fourth proportional to 30,892.80, 46,382.40 and 19,228.80 is: 28,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.80 : 46,382.40 = 19,228.80 : x
  2. Step 2: Convert to fraction form
    30,892.80/46,382.40 = 19,228.80/x
  3. Step 3: Cross multiply
    30,892.80x = 46,382.40 × 19,228.80
  4. Step 4: Simplify right side
    30,892.80x = 891,877,893.12
  5. Step 5: Solve for x
    x = 891,877,893.12/30,892.80
  6. Step 6: Final answer
    x = 28,870.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.