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Finding the Fourth Proportional to 109,559.16, 164,363.36 and 34,683.80

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Solution

The fourth proportional to 109,559.16, 164,363.36 and 34,683.80 is: 52,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,559.16 : 164,363.36 = 34,683.80 : x
  2. Step 2: Convert to fraction form
    109,559.16/164,363.36 = 34,683.80/x
  3. Step 3: Cross multiply
    109,559.16x = 164,363.36 × 34,683.80
  4. Step 4: Simplify right side
    109,559.16x = 5,700,745,905.57
  5. Step 5: Solve for x
    x = 5,700,745,905.57/109,559.16
  6. Step 6: Final answer
    x = 52,033.49

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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.