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Finding the Fourth Proportional to 32,039.80, 48,064.31 and 9,855.04

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Solution

The fourth proportional to 32,039.80, 48,064.31 and 9,855.04 is: 14,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.80 : 48,064.31 = 9,855.04 : x
  2. Step 2: Convert to fraction form
    32,039.80/48,064.31 = 9,855.04/x
  3. Step 3: Cross multiply
    32,039.80x = 48,064.31 × 9,855.04
  4. Step 4: Simplify right side
    32,039.80x = 473,675,697.62
  5. Step 5: Solve for x
    x = 473,675,697.62/32,039.80
  6. Step 6: Final answer
    x = 14,783.98

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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.