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Finding the Fourth Proportional to 54,779.84, 82,174.80 and 25,205.84

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Solution

The fourth proportional to 54,779.84, 82,174.80 and 25,205.84 is: 37,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,779.84 : 82,174.80 = 25,205.84 : x
  2. Step 2: Convert to fraction form
    54,779.84/82,174.80 = 25,205.84/x
  3. Step 3: Cross multiply
    54,779.84x = 82,174.80 × 25,205.84
  4. Step 4: Simplify right side
    54,779.84x = 2,071,284,860.83
  5. Step 5: Solve for x
    x = 2,071,284,860.83/54,779.84
  6. Step 6: Final answer
    x = 37,811.08

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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.