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Finding the Fourth Proportional to 65,103.36, 97,632 and 40,156.80

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Solution

The fourth proportional to 65,103.36, 97,632 and 40,156.80 is: 60,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.36 : 97,632 = 40,156.80 : x
  2. Step 2: Convert to fraction form
    65,103.36/97,632 = 40,156.80/x
  3. Step 3: Cross multiply
    65,103.36x = 97,632 × 40,156.80
  4. Step 4: Simplify right side
    65,103.36x = 3,920,588,697.60
  5. Step 5: Solve for x
    x = 3,920,588,697.60/65,103.36
  6. Step 6: Final answer
    x = 60,220.99

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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.