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Finding the Fourth Proportional to 65,353.50, 98,030.25 and 16,105.50

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Solution

The fourth proportional to 65,353.50, 98,030.25 and 16,105.50 is: 24,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.50 : 98,030.25 = 16,105.50 : x
  2. Step 2: Convert to fraction form
    65,353.50/98,030.25 = 16,105.50/x
  3. Step 3: Cross multiply
    65,353.50x = 98,030.25 × 16,105.50
  4. Step 4: Simplify right side
    65,353.50x = 1,578,826,191.38
  5. Step 5: Solve for x
    x = 1,578,826,191.38/65,353.50
  6. Step 6: Final answer
    x = 24,158.25

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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.