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Finding the Fourth Proportional to 56,771.60, 78,345.96 and 32,906

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Solution

The fourth proportional to 56,771.60, 78,345.96 and 32,906 is: 45,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,771.60 : 78,345.96 = 32,906 : x
  2. Step 2: Convert to fraction form
    56,771.60/78,345.96 = 32,906/x
  3. Step 3: Cross multiply
    56,771.60x = 78,345.96 × 32,906
  4. Step 4: Simplify right side
    56,771.60x = 2,578,052,159.76
  5. Step 5: Solve for x
    x = 2,578,052,159.76/56,771.60
  6. Step 6: Final answer
    x = 45,410.95

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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.