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Finding the Fourth Proportional to 32,848, 45,330.24 and 17,944

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Solution

The fourth proportional to 32,848, 45,330.24 and 17,944 is: 24,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848 : 45,330.24 = 17,944 : x
  2. Step 2: Convert to fraction form
    32,848/45,330.24 = 17,944/x
  3. Step 3: Cross multiply
    32,848x = 45,330.24 × 17,944
  4. Step 4: Simplify right side
    32,848x = 813,405,826.56
  5. Step 5: Solve for x
    x = 813,405,826.56/32,848
  6. Step 6: Final answer
    x = 24,762.72

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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.