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Finding the Fourth Proportional to 86,253.50, 129,380.26 and 23,924

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Solution

The fourth proportional to 86,253.50, 129,380.26 and 23,924 is: 35,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,253.50 : 129,380.26 = 23,924 : x
  2. Step 2: Convert to fraction form
    86,253.50/129,380.26 = 23,924/x
  3. Step 3: Cross multiply
    86,253.50x = 129,380.26 × 23,924
  4. Step 4: Simplify right side
    86,253.50x = 3,095,293,340.24
  5. Step 5: Solve for x
    x = 3,095,293,340.24/86,253.50
  6. Step 6: Final answer
    x = 35,886.00

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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.