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Finding the Fourth Proportional to 30,394.50, 41,946.50 and 16,968.36

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Solution

The fourth proportional to 30,394.50, 41,946.50 and 16,968.36 is: 23,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.50 : 41,946.50 = 16,968.36 : x
  2. Step 2: Convert to fraction form
    30,394.50/41,946.50 = 16,968.36/x
  3. Step 3: Cross multiply
    30,394.50x = 41,946.50 × 16,968.36
  4. Step 4: Simplify right side
    30,394.50x = 711,763,312.74
  5. Step 5: Solve for x
    x = 711,763,312.74/30,394.50
  6. Step 6: Final answer
    x = 23,417.50

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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.