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Finding the Fourth Proportional to 64,564.68, 89,107.56 and 36,270.40

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Solution

The fourth proportional to 64,564.68, 89,107.56 and 36,270.40 is: 50,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564.68 : 89,107.56 = 36,270.40 : x
  2. Step 2: Convert to fraction form
    64,564.68/89,107.56 = 36,270.40/x
  3. Step 3: Cross multiply
    64,564.68x = 89,107.56 × 36,270.40
  4. Step 4: Simplify right side
    64,564.68x = 3,231,966,844.22
  5. Step 5: Solve for x
    x = 3,231,966,844.22/64,564.68
  6. Step 6: Final answer
    x = 50,057.82

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Why These Related Problems?

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