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Finding the Fourth Proportional to 97,852.80, 146,836.80 and 35,529.60

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Solution

The fourth proportional to 97,852.80, 146,836.80 and 35,529.60 is: 53,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.80 : 146,836.80 = 35,529.60 : x
  2. Step 2: Convert to fraction form
    97,852.80/146,836.80 = 35,529.60/x
  3. Step 3: Cross multiply
    97,852.80x = 146,836.80 × 35,529.60
  4. Step 4: Simplify right side
    97,852.80x = 5,217,052,769.28
  5. Step 5: Solve for x
    x = 5,217,052,769.28/97,852.80
  6. Step 6: Final answer
    x = 53,315.31

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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.