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Finding the Fourth Proportional to 75,239.38, 112,779.50 and 27,824.00

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Solution

The fourth proportional to 75,239.38, 112,779.50 and 27,824.00 is: 41,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,239.38 : 112,779.50 = 27,824.00 : x
  2. Step 2: Convert to fraction form
    75,239.38/112,779.50 = 27,824.00/x
  3. Step 3: Cross multiply
    75,239.38x = 112,779.50 × 27,824.00
  4. Step 4: Simplify right side
    75,239.38x = 3,137,976,950.83
  5. Step 5: Solve for x
    x = 3,137,976,950.83/75,239.38
  6. Step 6: Final answer
    x = 41,706.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.