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Finding the Fourth Proportional to 49,474.64, 74,212.12 and 12,034.64

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Solution

The fourth proportional to 49,474.64, 74,212.12 and 12,034.64 is: 18,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.64 : 74,212.12 = 12,034.64 : x
  2. Step 2: Convert to fraction form
    49,474.64/74,212.12 = 12,034.64/x
  3. Step 3: Cross multiply
    49,474.64x = 74,212.12 × 12,034.64
  4. Step 4: Simplify right side
    49,474.64x = 893,116,147.84
  5. Step 5: Solve for x
    x = 893,116,147.84/49,474.64
  6. Step 6: Final answer
    x = 18,052.00

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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.