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Finding the Fourth Proportional to 65,158.50, 97,675.32 and 20,756.46

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Solution

The fourth proportional to 65,158.50, 97,675.32 and 20,756.46 is: 31,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,158.50 : 97,675.32 = 20,756.46 : x
  2. Step 2: Convert to fraction form
    65,158.50/97,675.32 = 20,756.46/x
  3. Step 3: Cross multiply
    65,158.50x = 97,675.32 × 20,756.46
  4. Step 4: Simplify right side
    65,158.50x = 2,027,393,872.57
  5. Step 5: Solve for x
    x = 2,027,393,872.57/65,158.50
  6. Step 6: Final answer
    x = 31,114.80

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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.