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Finding the Fourth Proportional to 65,035.58, 97,608.92 and 46,361.30

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Solution

The fourth proportional to 65,035.58, 97,608.92 and 46,361.30 is: 69,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035.58 : 97,608.92 = 46,361.30 : x
  2. Step 2: Convert to fraction form
    65,035.58/97,608.92 = 46,361.30/x
  3. Step 3: Cross multiply
    65,035.58x = 97,608.92 × 46,361.30
  4. Step 4: Simplify right side
    65,035.58x = 4,525,275,702.94
  5. Step 5: Solve for x
    x = 4,525,275,702.94/65,035.58
  6. Step 6: Final answer
    x = 69,581.54

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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.