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Finding the Fourth Proportional to 64,972.36, 89,661.84 and 35,164.36

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Solution

The fourth proportional to 64,972.36, 89,661.84 and 35,164.36 is: 48,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.36 : 89,661.84 = 35,164.36 : x
  2. Step 2: Convert to fraction form
    64,972.36/89,661.84 = 35,164.36/x
  3. Step 3: Cross multiply
    64,972.36x = 89,661.84 × 35,164.36
  4. Step 4: Simplify right side
    64,972.36x = 3,152,901,220.02
  5. Step 5: Solve for x
    x = 3,152,901,220.02/64,972.36
  6. Step 6: Final answer
    x = 48,526.81

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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.