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Finding the Fourth Proportional to 54,459.36, 81,542.16 and 37,784.16

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Solution

The fourth proportional to 54,459.36, 81,542.16 and 37,784.16 is: 56,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,459.36 : 81,542.16 = 37,784.16 : x
  2. Step 2: Convert to fraction form
    54,459.36/81,542.16 = 37,784.16/x
  3. Step 3: Cross multiply
    54,459.36x = 81,542.16 × 37,784.16
  4. Step 4: Simplify right side
    54,459.36x = 3,081,002,020.19
  5. Step 5: Solve for x
    x = 3,081,002,020.19/54,459.36
  6. Step 6: Final answer
    x = 56,574.33

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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.