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Finding the Fourth Proportional to 64,496.64, 89,004.16 and 35,816.16

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Solution

The fourth proportional to 64,496.64, 89,004.16 and 35,816.16 is: 49,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496.64 : 89,004.16 = 35,816.16 : x
  2. Step 2: Convert to fraction form
    64,496.64/89,004.16 = 35,816.16/x
  3. Step 3: Cross multiply
    64,496.64x = 89,004.16 × 35,816.16
  4. Step 4: Simplify right side
    64,496.64x = 3,187,787,235.23
  5. Step 5: Solve for x
    x = 3,187,787,235.23/64,496.64
  6. Step 6: Final answer
    x = 49,425.63

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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.