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Finding the Fourth Proportional to 54,009.60, 81,038.70 and 24,412.20

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Solution

The fourth proportional to 54,009.60, 81,038.70 and 24,412.20 is: 36,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,009.60 : 81,038.70 = 24,412.20 : x
  2. Step 2: Convert to fraction form
    54,009.60/81,038.70 = 24,412.20/x
  3. Step 3: Cross multiply
    54,009.60x = 81,038.70 × 24,412.20
  4. Step 4: Simplify right side
    54,009.60x = 1,978,332,952.14
  5. Step 5: Solve for x
    x = 1,978,332,952.14/54,009.60
  6. Step 6: Final answer
    x = 36,629.28

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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.