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Finding the Fourth Proportional to 37,809.70, 56,714.55 and 12,856.30

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Solution

The fourth proportional to 37,809.70, 56,714.55 and 12,856.30 is: 19,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809.70 : 56,714.55 = 12,856.30 : x
  2. Step 2: Convert to fraction form
    37,809.70/56,714.55 = 12,856.30/x
  3. Step 3: Cross multiply
    37,809.70x = 56,714.55 × 12,856.30
  4. Step 4: Simplify right side
    37,809.70x = 729,139,269.17
  5. Step 5: Solve for x
    x = 729,139,269.17/37,809.70
  6. Step 6: Final answer
    x = 19,284.45

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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.