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Finding the Fourth Proportional to 114,427.60, 171,654.20 and 35,541.20

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Solution

The fourth proportional to 114,427.60, 171,654.20 and 35,541.20 is: 53,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,427.60 : 171,654.20 = 35,541.20 : x
  2. Step 2: Convert to fraction form
    114,427.60/171,654.20 = 35,541.20/x
  3. Step 3: Cross multiply
    114,427.60x = 171,654.20 × 35,541.20
  4. Step 4: Simplify right side
    114,427.60x = 6,100,796,253.04
  5. Step 5: Solve for x
    x = 6,100,796,253.04/114,427.60
  6. Step 6: Final answer
    x = 53,315.78

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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.