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Finding the Fourth Proportional to 32,846.08, 49,268.16 and 12,064

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Solution

The fourth proportional to 32,846.08, 49,268.16 and 12,064 is: 18,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.08 : 49,268.16 = 12,064 : x
  2. Step 2: Convert to fraction form
    32,846.08/49,268.16 = 12,064/x
  3. Step 3: Cross multiply
    32,846.08x = 49,268.16 × 12,064
  4. Step 4: Simplify right side
    32,846.08x = 594,371,082.24
  5. Step 5: Solve for x
    x = 594,371,082.24/32,846.08
  6. Step 6: Final answer
    x = 18,095.65

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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.