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Finding the Fourth Proportional to 52,155.90, 71,975.12 and 28,282.50

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Solution

The fourth proportional to 52,155.90, 71,975.12 and 28,282.50 is: 39,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155.90 : 71,975.12 = 28,282.50 : x
  2. Step 2: Convert to fraction form
    52,155.90/71,975.12 = 28,282.50/x
  3. Step 3: Cross multiply
    52,155.90x = 71,975.12 × 28,282.50
  4. Step 4: Simplify right side
    52,155.90x = 2,035,636,189.99
  5. Step 5: Solve for x
    x = 2,035,636,189.99/52,155.90
  6. Step 6: Final answer
    x = 39,029.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.