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Finding the Fourth Proportional to 65,776, 90,770.88 and 35,968

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Solution

The fourth proportional to 65,776, 90,770.88 and 35,968 is: 49,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,776 : 90,770.88 = 35,968 : x
  2. Step 2: Convert to fraction form
    65,776/90,770.88 = 35,968/x
  3. Step 3: Cross multiply
    65,776x = 90,770.88 × 35,968
  4. Step 4: Simplify right side
    65,776x = 3,264,847,011.84
  5. Step 5: Solve for x
    x = 3,264,847,011.84/65,776
  6. Step 6: Final answer
    x = 49,635.84

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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.