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Finding the Fourth Proportional to 32,056.38, 48,089.12 and 9,871.56

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Solution

The fourth proportional to 32,056.38, 48,089.12 and 9,871.56 is: 14,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.38 : 48,089.12 = 9,871.56 : x
  2. Step 2: Convert to fraction form
    32,056.38/48,089.12 = 9,871.56/x
  3. Step 3: Cross multiply
    32,056.38x = 48,089.12 × 9,871.56
  4. Step 4: Simplify right side
    32,056.38x = 474,714,584.07
  5. Step 5: Solve for x
    x = 474,714,584.07/32,056.38
  6. Step 6: Final answer
    x = 14,808.74

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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.