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Finding the Fourth Proportional to 83,897.37, 125,889.80 and 34,014.33

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Solution

The fourth proportional to 83,897.37, 125,889.80 and 34,014.33 is: 51,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.37 : 125,889.80 = 34,014.33 : x
  2. Step 2: Convert to fraction form
    83,897.37/125,889.80 = 34,014.33/x
  3. Step 3: Cross multiply
    83,897.37x = 125,889.80 × 34,014.33
  4. Step 4: Simplify right side
    83,897.37x = 4,282,057,030.76
  5. Step 5: Solve for x
    x = 4,282,057,030.76/83,897.37
  6. Step 6: Final answer
    x = 51,039.23

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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.