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Finding the Fourth Proportional to 71,780.63, 107,671.85 and 25,033.50

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Solution

The fourth proportional to 71,780.63, 107,671.85 and 25,033.50 is: 37,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.63 : 107,671.85 = 25,033.50 : x
  2. Step 2: Convert to fraction form
    71,780.63/107,671.85 = 25,033.50/x
  3. Step 3: Cross multiply
    71,780.63x = 107,671.85 × 25,033.50
  4. Step 4: Simplify right side
    71,780.63x = 2,695,403,225.68
  5. Step 5: Solve for x
    x = 2,695,403,225.68/71,780.63
  6. Step 6: Final answer
    x = 37,550.57

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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.