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Finding the Fourth Proportional to 65,156.88, 97,636.90 and 48,438.48

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Solution

The fourth proportional to 65,156.88, 97,636.90 and 48,438.48 is: 72,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,156.88 : 97,636.90 = 48,438.48 : x
  2. Step 2: Convert to fraction form
    65,156.88/97,636.90 = 48,438.48/x
  3. Step 3: Cross multiply
    65,156.88x = 97,636.90 × 48,438.48
  4. Step 4: Simplify right side
    65,156.88x = 4,729,383,027.91
  5. Step 5: Solve for x
    x = 4,729,383,027.91/65,156.88
  6. Step 6: Final answer
    x = 72,584.55

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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.