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Finding the Fourth Proportional to 32,013.30, 48,005.55 and 12,285.30

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Solution

The fourth proportional to 32,013.30, 48,005.55 and 12,285.30 is: 18,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.30 : 48,005.55 = 12,285.30 : x
  2. Step 2: Convert to fraction form
    32,013.30/48,005.55 = 12,285.30/x
  3. Step 3: Cross multiply
    32,013.30x = 48,005.55 × 12,285.30
  4. Step 4: Simplify right side
    32,013.30x = 589,762,583.42
  5. Step 5: Solve for x
    x = 589,762,583.42/32,013.30
  6. Step 6: Final answer
    x = 18,422.42

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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.