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Finding the Fourth Proportional to 35,140.77, 52,707.87 and 11,767.41

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Solution

The fourth proportional to 35,140.77, 52,707.87 and 11,767.41 is: 17,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.77 : 52,707.87 = 11,767.41 : x
  2. Step 2: Convert to fraction form
    35,140.77/52,707.87 = 11,767.41/x
  3. Step 3: Cross multiply
    35,140.77x = 52,707.87 × 11,767.41
  4. Step 4: Simplify right side
    35,140.77x = 620,235,116.52
  5. Step 5: Solve for x
    x = 620,235,116.52/35,140.77
  6. Step 6: Final answer
    x = 17,650.01

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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.