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Finding the Fourth Proportional to 64,313.84, 96,348.36 and 30,935.36

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Solution

The fourth proportional to 64,313.84, 96,348.36 and 30,935.36 is: 46,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,313.84 : 96,348.36 = 30,935.36 : x
  2. Step 2: Convert to fraction form
    64,313.84/96,348.36 = 30,935.36/x
  3. Step 3: Cross multiply
    64,313.84x = 96,348.36 × 30,935.36
  4. Step 4: Simplify right side
    64,313.84x = 2,980,571,202.01
  5. Step 5: Solve for x
    x = 2,980,571,202.01/64,313.84
  6. Step 6: Final answer
    x = 46,344.16

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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.