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Finding the Fourth Proportional to 35,487.64, 53,234.16 and 20,698.03

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Solution

The fourth proportional to 35,487.64, 53,234.16 and 20,698.03 is: 31,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,487.64 : 53,234.16 = 20,698.03 : x
  2. Step 2: Convert to fraction form
    35,487.64/53,234.16 = 20,698.03/x
  3. Step 3: Cross multiply
    35,487.64x = 53,234.16 × 20,698.03
  4. Step 4: Simplify right side
    35,487.64x = 1,101,842,240.70
  5. Step 5: Solve for x
    x = 1,101,842,240.70/35,487.64
  6. Step 6: Final answer
    x = 31,048.62

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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.