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Finding the Fourth Proportional to 97,671.20, 146,530.80 and 27,549.60

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Solution

The fourth proportional to 97,671.20, 146,530.80 and 27,549.60 is: 41,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671.20 : 146,530.80 = 27,549.60 : x
  2. Step 2: Convert to fraction form
    97,671.20/146,530.80 = 27,549.60/x
  3. Step 3: Cross multiply
    97,671.20x = 146,530.80 × 27,549.60
  4. Step 4: Simplify right side
    97,671.20x = 4,036,864,927.68
  5. Step 5: Solve for x
    x = 4,036,864,927.68/97,671.20
  6. Step 6: Final answer
    x = 41,331.17

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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.