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Finding the Fourth Proportional to 65,125.87, 97,687.74 and 20,752.03

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Solution

The fourth proportional to 65,125.87, 97,687.74 and 20,752.03 is: 31,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.87 : 97,687.74 = 20,752.03 : x
  2. Step 2: Convert to fraction form
    65,125.87/97,687.74 = 20,752.03/x
  3. Step 3: Cross multiply
    65,125.87x = 97,687.74 × 20,752.03
  4. Step 4: Simplify right side
    65,125.87x = 2,027,218,911.11
  5. Step 5: Solve for x
    x = 2,027,218,911.11/65,125.87
  6. Step 6: Final answer
    x = 31,127.71

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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.