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Finding the Fourth Proportional to 49,675, 74,497.92 and 14,606.32

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Solution

The fourth proportional to 49,675, 74,497.92 and 14,606.32 is: 21,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675 : 74,497.92 = 14,606.32 : x
  2. Step 2: Convert to fraction form
    49,675/74,497.92 = 14,606.32/x
  3. Step 3: Cross multiply
    49,675x = 74,497.92 × 14,606.32
  4. Step 4: Simplify right side
    49,675x = 1,088,140,458.85
  5. Step 5: Solve for x
    x = 1,088,140,458.85/49,675
  6. Step 6: Final answer
    x = 21,905.19

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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.