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Finding the Fourth Proportional to 65,232.50, 97,845.66 and 23,111.90

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Solution

The fourth proportional to 65,232.50, 97,845.66 and 23,111.90 is: 34,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.50 : 97,845.66 = 23,111.90 : x
  2. Step 2: Convert to fraction form
    65,232.50/97,845.66 = 23,111.90/x
  3. Step 3: Cross multiply
    65,232.50x = 97,845.66 × 23,111.90
  4. Step 4: Simplify right side
    65,232.50x = 2,261,399,109.35
  5. Step 5: Solve for x
    x = 2,261,399,109.35/65,232.50
  6. Step 6: Final answer
    x = 34,666.76

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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.