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Finding the Fourth Proportional to 43,296.40, 64,912.20 and 23,597.20

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Solution

The fourth proportional to 43,296.40, 64,912.20 and 23,597.20 is: 35,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,296.40 : 64,912.20 = 23,597.20 : x
  2. Step 2: Convert to fraction form
    43,296.40/64,912.20 = 23,597.20/x
  3. Step 3: Cross multiply
    43,296.40x = 64,912.20 × 23,597.20
  4. Step 4: Simplify right side
    43,296.40x = 1,531,746,165.84
  5. Step 5: Solve for x
    x = 1,531,746,165.84/43,296.40
  6. Step 6: Final answer
    x = 35,378.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.