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Finding the Fourth Proportional to 97,099.88, 145,651.74 and 30,538.60

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Solution

The fourth proportional to 97,099.88, 145,651.74 and 30,538.60 is: 45,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.88 : 145,651.74 = 30,538.60 : x
  2. Step 2: Convert to fraction form
    97,099.88/145,651.74 = 30,538.60/x
  3. Step 3: Cross multiply
    97,099.88x = 145,651.74 × 30,538.60
  4. Step 4: Simplify right side
    97,099.88x = 4,448,000,227.16
  5. Step 5: Solve for x
    x = 4,448,000,227.16/97,099.88
  6. Step 6: Final answer
    x = 45,808.50

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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.