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Finding the Fourth Proportional to 49,728.01, 74,593.50 and 12,288.08

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Solution

The fourth proportional to 49,728.01, 74,593.50 and 12,288.08 is: 18,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,728.01 : 74,593.50 = 12,288.08 : x
  2. Step 2: Convert to fraction form
    49,728.01/74,593.50 = 12,288.08/x
  3. Step 3: Cross multiply
    49,728.01x = 74,593.50 × 12,288.08
  4. Step 4: Simplify right side
    49,728.01x = 916,610,522.51
  5. Step 5: Solve for x
    x = 916,610,522.51/49,728.01
  6. Step 6: Final answer
    x = 18,432.48

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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.