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Finding the Fourth Proportional to 35,206.30, 52,683.68 and 30,580.80

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Solution

The fourth proportional to 35,206.30, 52,683.68 and 30,580.80 is: 45,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.30 : 52,683.68 = 30,580.80 : x
  2. Step 2: Convert to fraction form
    35,206.30/52,683.68 = 30,580.80/x
  3. Step 3: Cross multiply
    35,206.30x = 52,683.68 × 30,580.80
  4. Step 4: Simplify right side
    35,206.30x = 1,611,109,081.34
  5. Step 5: Solve for x
    x = 1,611,109,081.34/35,206.30
  6. Step 6: Final answer
    x = 45,761.95

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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.