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Finding the Fourth Proportional to 34,685.06, 52,035.80 and 11,311.50

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Solution

The fourth proportional to 34,685.06, 52,035.80 and 11,311.50 is: 16,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685.06 : 52,035.80 = 11,311.50 : x
  2. Step 2: Convert to fraction form
    34,685.06/52,035.80 = 11,311.50/x
  3. Step 3: Cross multiply
    34,685.06x = 52,035.80 × 11,311.50
  4. Step 4: Simplify right side
    34,685.06x = 588,602,895.14
  5. Step 5: Solve for x
    x = 588,602,895.14/34,685.06
  6. Step 6: Final answer
    x = 16,969.92

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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.