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Finding the Fourth Proportional to 40,842.24, 56,356.80 and 24,072

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Solution

The fourth proportional to 40,842.24, 56,356.80 and 24,072 is: 33,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.24 : 56,356.80 = 24,072 : x
  2. Step 2: Convert to fraction form
    40,842.24/56,356.80 = 24,072/x
  3. Step 3: Cross multiply
    40,842.24x = 56,356.80 × 24,072
  4. Step 4: Simplify right side
    40,842.24x = 1,356,620,889.60
  5. Step 5: Solve for x
    x = 1,356,620,889.60/40,842.24
  6. Step 6: Final answer
    x = 33,216.12

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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.