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Finding the Fourth Proportional to 65,315.87, 97,961.49 and 25,334.78

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Solution

The fourth proportional to 65,315.87, 97,961.49 and 25,334.78 is: 37,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.87 : 97,961.49 = 25,334.78 : x
  2. Step 2: Convert to fraction form
    65,315.87/97,961.49 = 25,334.78/x
  3. Step 3: Cross multiply
    65,315.87x = 97,961.49 × 25,334.78
  4. Step 4: Simplify right side
    65,315.87x = 2,481,832,307.81
  5. Step 5: Solve for x
    x = 2,481,832,307.81/65,315.87
  6. Step 6: Final answer
    x = 37,997.39

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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.