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Finding the Fourth Proportional to 53,946.98, 80,930.19 and 16,506.35

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Solution

The fourth proportional to 53,946.98, 80,930.19 and 16,506.35 is: 24,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,946.98 : 80,930.19 = 16,506.35 : x
  2. Step 2: Convert to fraction form
    53,946.98/80,930.19 = 16,506.35/x
  3. Step 3: Cross multiply
    53,946.98x = 80,930.19 × 16,506.35
  4. Step 4: Simplify right side
    53,946.98x = 1,335,861,637.06
  5. Step 5: Solve for x
    x = 1,335,861,637.06/53,946.98
  6. Step 6: Final answer
    x = 24,762.49

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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.