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Finding the Fourth Proportional to 40,647.31, 56,094.29 and 22,742.16

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Solution

The fourth proportional to 40,647.31, 56,094.29 and 22,742.16 is: 31,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,647.31 : 56,094.29 = 22,742.16 : x
  2. Step 2: Convert to fraction form
    40,647.31/56,094.29 = 22,742.16/x
  3. Step 3: Cross multiply
    40,647.31x = 56,094.29 × 22,742.16
  4. Step 4: Simplify right side
    40,647.31x = 1,275,705,318.27
  5. Step 5: Solve for x
    x = 1,275,705,318.27/40,647.31
  6. Step 6: Final answer
    x = 31,384.74

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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.