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Finding the Fourth Proportional to 83,402, 125,083.32 and 27,227.60

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Solution

The fourth proportional to 83,402, 125,083.32 and 27,227.60 is: 40,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,402 : 125,083.32 = 27,227.60 : x
  2. Step 2: Convert to fraction form
    83,402/125,083.32 = 27,227.60/x
  3. Step 3: Cross multiply
    83,402x = 125,083.32 × 27,227.60
  4. Step 4: Simplify right side
    83,402x = 3,405,718,603.63
  5. Step 5: Solve for x
    x = 3,405,718,603.63/83,402
  6. Step 6: Final answer
    x = 40,834.98

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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.