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Finding the Fourth Proportional to 65,003.50, 97,431.54 and 29,870.56

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Solution

The fourth proportional to 65,003.50, 97,431.54 and 29,870.56 is: 44,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,003.50 : 97,431.54 = 29,870.56 : x
  2. Step 2: Convert to fraction form
    65,003.50/97,431.54 = 29,870.56/x
  3. Step 3: Cross multiply
    65,003.50x = 97,431.54 × 29,870.56
  4. Step 4: Simplify right side
    65,003.50x = 2,910,334,661.46
  5. Step 5: Solve for x
    x = 2,910,334,661.46/65,003.50
  6. Step 6: Final answer
    x = 44,771.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.