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Finding the Fourth Proportional to 56,378.74, 77,783.34 and 32,162.30

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Solution

The fourth proportional to 56,378.74, 77,783.34 and 32,162.30 is: 44,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378.74 : 77,783.34 = 32,162.30 : x
  2. Step 2: Convert to fraction form
    56,378.74/77,783.34 = 32,162.30/x
  3. Step 3: Cross multiply
    56,378.74x = 77,783.34 × 32,162.30
  4. Step 4: Simplify right side
    56,378.74x = 2,501,691,116.08
  5. Step 5: Solve for x
    x = 2,501,691,116.08/56,378.74
  6. Step 6: Final answer
    x = 44,372.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.