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Finding the Fourth Proportional to 32,795.16, 45,257.10 and 18,648

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Solution

The fourth proportional to 32,795.16, 45,257.10 and 18,648 is: 25,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,795.16 : 45,257.10 = 18,648 : x
  2. Step 2: Convert to fraction form
    32,795.16/45,257.10 = 18,648/x
  3. Step 3: Cross multiply
    32,795.16x = 45,257.10 × 18,648
  4. Step 4: Simplify right side
    32,795.16x = 843,954,400.80
  5. Step 5: Solve for x
    x = 843,954,400.80/32,795.16
  6. Step 6: Final answer
    x = 25,734.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.