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Finding the Fourth Proportional to 40,752.08, 56,235.84 and 23,984

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Solution

The fourth proportional to 40,752.08, 56,235.84 and 23,984 is: 33,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,752.08 : 56,235.84 = 23,984 : x
  2. Step 2: Convert to fraction form
    40,752.08/56,235.84 = 23,984/x
  3. Step 3: Cross multiply
    40,752.08x = 56,235.84 × 23,984
  4. Step 4: Simplify right side
    40,752.08x = 1,348,760,386.56
  5. Step 5: Solve for x
    x = 1,348,760,386.56/40,752.08
  6. Step 6: Final answer
    x = 33,096.73

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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.