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Finding the Fourth Proportional to 65,380.50, 90,225.09 and 35,572.50

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Solution

The fourth proportional to 65,380.50, 90,225.09 and 35,572.50 is: 49,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,380.50 : 90,225.09 = 35,572.50 : x
  2. Step 2: Convert to fraction form
    65,380.50/90,225.09 = 35,572.50/x
  3. Step 3: Cross multiply
    65,380.50x = 90,225.09 × 35,572.50
  4. Step 4: Simplify right side
    65,380.50x = 3,209,532,014.03
  5. Step 5: Solve for x
    x = 3,209,532,014.03/65,380.50
  6. Step 6: Final answer
    x = 49,090.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.