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Finding the Fourth Proportional to 64,490.40, 96,735.60 and 17,743.20

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Solution

The fourth proportional to 64,490.40, 96,735.60 and 17,743.20 is: 26,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,490.40 : 96,735.60 = 17,743.20 : x
  2. Step 2: Convert to fraction form
    64,490.40/96,735.60 = 17,743.20/x
  3. Step 3: Cross multiply
    64,490.40x = 96,735.60 × 17,743.20
  4. Step 4: Simplify right side
    64,490.40x = 1,716,399,097.92
  5. Step 5: Solve for x
    x = 1,716,399,097.92/64,490.40
  6. Step 6: Final answer
    x = 26,614.80

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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.