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Finding the Fourth Proportional to 49,152.10, 73,728.20 and 12,216.10

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Solution

The fourth proportional to 49,152.10, 73,728.20 and 12,216.10 is: 18,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.10 : 73,728.20 = 12,216.10 : x
  2. Step 2: Convert to fraction form
    49,152.10/73,728.20 = 12,216.10/x
  3. Step 3: Cross multiply
    49,152.10x = 73,728.20 × 12,216.10
  4. Step 4: Simplify right side
    49,152.10x = 900,671,064.02
  5. Step 5: Solve for x
    x = 900,671,064.02/49,152.10
  6. Step 6: Final answer
    x = 18,324.16

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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.