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Finding the Fourth Proportional to 97,809.80, 146,772.30 and 35,486.60

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Solution

The fourth proportional to 97,809.80, 146,772.30 and 35,486.60 is: 53,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,809.80 : 146,772.30 = 35,486.60 : x
  2. Step 2: Convert to fraction form
    97,809.80/146,772.30 = 35,486.60/x
  3. Step 3: Cross multiply
    97,809.80x = 146,772.30 × 35,486.60
  4. Step 4: Simplify right side
    97,809.80x = 5,208,449,901.18
  5. Step 5: Solve for x
    x = 5,208,449,901.18/97,809.80
  6. Step 6: Final answer
    x = 53,250.80

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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.