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Finding the Fourth Proportional to 65,825.84, 98,738.66 and 26,410.64

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Solution

The fourth proportional to 65,825.84, 98,738.66 and 26,410.64 is: 39,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.84 : 98,738.66 = 26,410.64 : x
  2. Step 2: Convert to fraction form
    65,825.84/98,738.66 = 26,410.64/x
  3. Step 3: Cross multiply
    65,825.84x = 98,738.66 × 26,410.64
  4. Step 4: Simplify right side
    65,825.84x = 2,607,750,577.60
  5. Step 5: Solve for x
    x = 2,607,750,577.60/65,825.84
  6. Step 6: Final answer
    x = 39,615.91

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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.