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Finding the Fourth Proportional to 32,005.13, 48,021.46 and 12,281.22

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Solution

The fourth proportional to 32,005.13, 48,021.46 and 12,281.22 is: 18,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.13 : 48,021.46 = 12,281.22 : x
  2. Step 2: Convert to fraction form
    32,005.13/48,021.46 = 12,281.22/x
  3. Step 3: Cross multiply
    32,005.13x = 48,021.46 × 12,281.22
  4. Step 4: Simplify right side
    32,005.13x = 589,762,084.28
  5. Step 5: Solve for x
    x = 589,762,084.28/32,005.13
  6. Step 6: Final answer
    x = 18,427.11

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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.