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Finding the Fourth Proportional to 32,821.50, 49,239.54 and 12,045

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Solution

The fourth proportional to 32,821.50, 49,239.54 and 12,045 is: 18,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.50 : 49,239.54 = 12,045 : x
  2. Step 2: Convert to fraction form
    32,821.50/49,239.54 = 12,045/x
  3. Step 3: Cross multiply
    32,821.50x = 49,239.54 × 12,045
  4. Step 4: Simplify right side
    32,821.50x = 593,090,259.30
  5. Step 5: Solve for x
    x = 593,090,259.30/32,821.50
  6. Step 6: Final answer
    x = 18,070.18

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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.