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Finding the Fourth Proportional to 86,472.53, 129,699.06 and 23,297.33

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Solution

The fourth proportional to 86,472.53, 129,699.06 and 23,297.33 is: 34,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,472.53 : 129,699.06 = 23,297.33 : x
  2. Step 2: Convert to fraction form
    86,472.53/129,699.06 = 23,297.33/x
  3. Step 3: Cross multiply
    86,472.53x = 129,699.06 × 23,297.33
  4. Step 4: Simplify right side
    86,472.53x = 3,021,641,153.01
  5. Step 5: Solve for x
    x = 3,021,641,153.01/86,472.53
  6. Step 6: Final answer
    x = 34,943.37

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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.