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Finding the Fourth Proportional to 37,643.62, 56,456.25 and 12,677.17

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Solution

The fourth proportional to 37,643.62, 56,456.25 and 12,677.17 is: 19,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.62 : 56,456.25 = 12,677.17 : x
  2. Step 2: Convert to fraction form
    37,643.62/56,456.25 = 12,677.17/x
  3. Step 3: Cross multiply
    37,643.62x = 56,456.25 × 12,677.17
  4. Step 4: Simplify right side
    37,643.62x = 715,705,478.81
  5. Step 5: Solve for x
    x = 715,705,478.81/37,643.62
  6. Step 6: Final answer
    x = 19,012.66

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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.