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Finding the Fourth Proportional to 85,687.77, 128,447.76 and 35,782.14

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Solution

The fourth proportional to 85,687.77, 128,447.76 and 35,782.14 is: 53,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,687.77 : 128,447.76 = 35,782.14 : x
  2. Step 2: Convert to fraction form
    85,687.77/128,447.76 = 35,782.14/x
  3. Step 3: Cross multiply
    85,687.77x = 128,447.76 × 35,782.14
  4. Step 4: Simplify right side
    85,687.77x = 4,596,135,844.98
  5. Step 5: Solve for x
    x = 4,596,135,844.98/85,687.77
  6. Step 6: Final answer
    x = 53,638.18

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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.