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Finding the Fourth Proportional to 32,056.84, 48,083.46 and 8,681.56

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Solution

The fourth proportional to 32,056.84, 48,083.46 and 8,681.56 is: 13,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.84 : 48,083.46 = 8,681.56 : x
  2. Step 2: Convert to fraction form
    32,056.84/48,083.46 = 8,681.56/x
  3. Step 3: Cross multiply
    32,056.84x = 48,083.46 × 8,681.56
  4. Step 4: Simplify right side
    32,056.84x = 417,439,443.00
  5. Step 5: Solve for x
    x = 417,439,443.00/32,056.84
  6. Step 6: Final answer
    x = 13,021.85

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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.