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Finding the Fourth Proportional to 49,667, 74,485.92 and 14,598.32

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Solution

The fourth proportional to 49,667, 74,485.92 and 14,598.32 is: 21,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,667 : 74,485.92 = 14,598.32 : x
  2. Step 2: Convert to fraction form
    49,667/74,485.92 = 14,598.32/x
  3. Step 3: Cross multiply
    49,667x = 74,485.92 × 14,598.32
  4. Step 4: Simplify right side
    49,667x = 1,087,369,295.65
  5. Step 5: Solve for x
    x = 1,087,369,295.65/49,667
  6. Step 6: Final answer
    x = 21,893.19

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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.