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Finding the Fourth Proportional to 35,498.46, 53,202.44 and 18,866.46

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Solution

The fourth proportional to 35,498.46, 53,202.44 and 18,866.46 is: 28,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498.46 : 53,202.44 = 18,866.46 : x
  2. Step 2: Convert to fraction form
    35,498.46/53,202.44 = 18,866.46/x
  3. Step 3: Cross multiply
    35,498.46x = 53,202.44 × 18,866.46
  4. Step 4: Simplify right side
    35,498.46x = 1,003,741,706.16
  5. Step 5: Solve for x
    x = 1,003,741,706.16/35,498.46
  6. Step 6: Final answer
    x = 28,275.64

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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.