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Finding the Fourth Proportional to 32,324.84, 48,475.24 and 11,259.46

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Solution

The fourth proportional to 32,324.84, 48,475.24 and 11,259.46 is: 16,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324.84 : 48,475.24 = 11,259.46 : x
  2. Step 2: Convert to fraction form
    32,324.84/48,475.24 = 11,259.46/x
  3. Step 3: Cross multiply
    32,324.84x = 48,475.24 × 11,259.46
  4. Step 4: Simplify right side
    32,324.84x = 545,805,025.77
  5. Step 5: Solve for x
    x = 545,805,025.77/32,324.84
  6. Step 6: Final answer
    x = 16,885.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.