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Finding the Fourth Proportional to 82,050.35, 123,075.55 and 25,894.84

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Solution

The fourth proportional to 82,050.35, 123,075.55 and 25,894.84 is: 38,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050.35 : 123,075.55 = 25,894.84 : x
  2. Step 2: Convert to fraction form
    82,050.35/123,075.55 = 25,894.84/x
  3. Step 3: Cross multiply
    82,050.35x = 123,075.55 × 25,894.84
  4. Step 4: Simplify right side
    82,050.35x = 3,187,021,630.61
  5. Step 5: Solve for x
    x = 3,187,021,630.61/82,050.35
  6. Step 6: Final answer
    x = 38,842.27

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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.