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Finding the Fourth Proportional to 54,669.72, 82,004.52 and 42,207.96

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Solution

The fourth proportional to 54,669.72, 82,004.52 and 42,207.96 is: 63,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,669.72 : 82,004.52 = 42,207.96 : x
  2. Step 2: Convert to fraction form
    54,669.72/82,004.52 = 42,207.96/x
  3. Step 3: Cross multiply
    54,669.72x = 82,004.52 × 42,207.96
  4. Step 4: Simplify right side
    54,669.72x = 3,461,243,499.98
  5. Step 5: Solve for x
    x = 3,461,243,499.98/54,669.72
  6. Step 6: Final answer
    x = 63,311.89

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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.