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Finding the Fourth Proportional to 52,153.38, 71,971.56 and 28,279.98

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Solution

The fourth proportional to 52,153.38, 71,971.56 and 28,279.98 is: 39,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153.38 : 71,971.56 = 28,279.98 : x
  2. Step 2: Convert to fraction form
    52,153.38/71,971.56 = 28,279.98/x
  3. Step 3: Cross multiply
    52,153.38x = 71,971.56 × 28,279.98
  4. Step 4: Simplify right side
    52,153.38x = 2,035,354,277.37
  5. Step 5: Solve for x
    x = 2,035,354,277.37/52,153.38
  6. Step 6: Final answer
    x = 39,026.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.