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Finding the Fourth Proportional to 37,642.62, 56,454.75 and 12,676.17

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Solution

The fourth proportional to 37,642.62, 56,454.75 and 12,676.17 is: 19,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.62 : 56,454.75 = 12,676.17 : x
  2. Step 2: Convert to fraction form
    37,642.62/56,454.75 = 12,676.17/x
  3. Step 3: Cross multiply
    37,642.62x = 56,454.75 × 12,676.17
  4. Step 4: Simplify right side
    37,642.62x = 715,630,008.31
  5. Step 5: Solve for x
    x = 715,630,008.31/37,642.62
  6. Step 6: Final answer
    x = 19,011.16

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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.