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Finding the Fourth Proportional to 83,538, 125,314.29 and 21,208.50

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Solution

The fourth proportional to 83,538, 125,314.29 and 21,208.50 is: 31,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 125,314.29 = 21,208.50 : x
  2. Step 2: Convert to fraction form
    83,538/125,314.29 = 21,208.50/x
  3. Step 3: Cross multiply
    83,538x = 125,314.29 × 21,208.50
  4. Step 4: Simplify right side
    83,538x = 2,657,728,119.47
  5. Step 5: Solve for x
    x = 2,657,728,119.47/83,538
  6. Step 6: Final answer
    x = 31,814.60

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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.