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Finding the Fourth Proportional to 32,855.48, 49,280.70 and 12,077

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Solution

The fourth proportional to 32,855.48, 49,280.70 and 12,077 is: 18,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.48 : 49,280.70 = 12,077 : x
  2. Step 2: Convert to fraction form
    32,855.48/49,280.70 = 12,077/x
  3. Step 3: Cross multiply
    32,855.48x = 49,280.70 × 12,077
  4. Step 4: Simplify right side
    32,855.48x = 595,163,013.90
  5. Step 5: Solve for x
    x = 595,163,013.90/32,855.48
  6. Step 6: Final answer
    x = 18,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.