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Finding the Fourth Proportional to 65,233.98, 97,883.82 and 48,627.36

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Solution

The fourth proportional to 65,233.98, 97,883.82 and 48,627.36 is: 72,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.98 : 97,883.82 = 48,627.36 : x
  2. Step 2: Convert to fraction form
    65,233.98/97,883.82 = 48,627.36/x
  3. Step 3: Cross multiply
    65,233.98x = 97,883.82 × 48,627.36
  4. Step 4: Simplify right side
    65,233.98x = 4,759,831,753.32
  5. Step 5: Solve for x
    x = 4,759,831,753.32/65,233.98
  6. Step 6: Final answer
    x = 72,965.53

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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.