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Finding the Fourth Proportional to 86,455, 129,682.50 and 20,791

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Solution

The fourth proportional to 86,455, 129,682.50 and 20,791 is: 31,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455 : 129,682.50 = 20,791 : x
  2. Step 2: Convert to fraction form
    86,455/129,682.50 = 20,791/x
  3. Step 3: Cross multiply
    86,455x = 129,682.50 × 20,791
  4. Step 4: Simplify right side
    86,455x = 2,696,228,857.50
  5. Step 5: Solve for x
    x = 2,696,228,857.50/86,455
  6. Step 6: Final answer
    x = 31,186.50

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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.