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Finding the Fourth Proportional to 35,753.82, 53,630.19 and 12,380.46

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Solution

The fourth proportional to 35,753.82, 53,630.19 and 12,380.46 is: 18,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,753.82 : 53,630.19 = 12,380.46 : x
  2. Step 2: Convert to fraction form
    35,753.82/53,630.19 = 12,380.46/x
  3. Step 3: Cross multiply
    35,753.82x = 53,630.19 × 12,380.46
  4. Step 4: Simplify right side
    35,753.82x = 663,966,422.09
  5. Step 5: Solve for x
    x = 663,966,422.09/35,753.82
  6. Step 6: Final answer
    x = 18,570.50

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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.