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Finding the Fourth Proportional to 32,605.80, 48,914.10 and 13,894.80

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Solution

The fourth proportional to 32,605.80, 48,914.10 and 13,894.80 is: 20,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.80 : 48,914.10 = 13,894.80 : x
  2. Step 2: Convert to fraction form
    32,605.80/48,914.10 = 13,894.80/x
  3. Step 3: Cross multiply
    32,605.80x = 48,914.10 × 13,894.80
  4. Step 4: Simplify right side
    32,605.80x = 679,651,636.68
  5. Step 5: Solve for x
    x = 679,651,636.68/32,605.80
  6. Step 6: Final answer
    x = 20,844.50

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Why These Related Problems?

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