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Finding the Fourth Proportional to 45,137.54, 67,714.77 and 20,178.58

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Solution

The fourth proportional to 45,137.54, 67,714.77 and 20,178.58 is: 30,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,137.54 : 67,714.77 = 20,178.58 : x
  2. Step 2: Convert to fraction form
    45,137.54/67,714.77 = 20,178.58/x
  3. Step 3: Cross multiply
    45,137.54x = 67,714.77 × 20,178.58
  4. Step 4: Simplify right side
    45,137.54x = 1,366,387,903.63
  5. Step 5: Solve for x
    x = 1,366,387,903.63/45,137.54
  6. Step 6: Final answer
    x = 30,271.65

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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.