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Finding the Fourth Proportional to 35,202.76, 52,804.14 and 11,829.20

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Solution

The fourth proportional to 35,202.76, 52,804.14 and 11,829.20 is: 17,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202.76 : 52,804.14 = 11,829.20 : x
  2. Step 2: Convert to fraction form
    35,202.76/52,804.14 = 11,829.20/x
  3. Step 3: Cross multiply
    35,202.76x = 52,804.14 × 11,829.20
  4. Step 4: Simplify right side
    35,202.76x = 624,630,732.89
  5. Step 5: Solve for x
    x = 624,630,732.89/35,202.76
  6. Step 6: Final answer
    x = 17,743.80

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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.