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Finding the Fourth Proportional to 41,318.84, 57,015.34 and 23,410

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Solution

The fourth proportional to 41,318.84, 57,015.34 and 23,410 is: 32,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,318.84 : 57,015.34 = 23,410 : x
  2. Step 2: Convert to fraction form
    41,318.84/57,015.34 = 23,410/x
  3. Step 3: Cross multiply
    41,318.84x = 57,015.34 × 23,410
  4. Step 4: Simplify right side
    41,318.84x = 1,334,729,109.40
  5. Step 5: Solve for x
    x = 1,334,729,109.40/41,318.84
  6. Step 6: Final answer
    x = 32,303.16

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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.