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Finding the Fourth Proportional to 35,141.76, 52,713 and 11,768.40

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Solution

The fourth proportional to 35,141.76, 52,713 and 11,768.40 is: 17,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.76 : 52,713 = 11,768.40 : x
  2. Step 2: Convert to fraction form
    35,141.76/52,713 = 11,768.40/x
  3. Step 3: Cross multiply
    35,141.76x = 52,713 × 11,768.40
  4. Step 4: Simplify right side
    35,141.76x = 620,347,669.20
  5. Step 5: Solve for x
    x = 620,347,669.20/35,141.76
  6. Step 6: Final answer
    x = 17,652.72

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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.