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Finding the Fourth Proportional to 65,811.36, 98,725.66 and 34,648.32

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Solution

The fourth proportional to 65,811.36, 98,725.66 and 34,648.32 is: 51,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,811.36 : 98,725.66 = 34,648.32 : x
  2. Step 2: Convert to fraction form
    65,811.36/98,725.66 = 34,648.32/x
  3. Step 3: Cross multiply
    65,811.36x = 98,725.66 × 34,648.32
  4. Step 4: Simplify right side
    65,811.36x = 3,420,678,259.89
  5. Step 5: Solve for x
    x = 3,420,678,259.89/65,811.36
  6. Step 6: Final answer
    x = 51,977.02

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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.