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Finding the Fourth Proportional to 35,297.76, 52,968.50 and 20,513.64

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Solution

The fourth proportional to 35,297.76, 52,968.50 and 20,513.64 is: 30,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297.76 : 52,968.50 = 20,513.64 : x
  2. Step 2: Convert to fraction form
    35,297.76/52,968.50 = 20,513.64/x
  3. Step 3: Cross multiply
    35,297.76x = 52,968.50 × 20,513.64
  4. Step 4: Simplify right side
    35,297.76x = 1,086,576,740.34
  5. Step 5: Solve for x
    x = 1,086,576,740.34/35,297.76
  6. Step 6: Final answer
    x = 30,783.16

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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.