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Finding the Fourth Proportional to 46,653.92, 69,991.80 and 15,489.16

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Solution

The fourth proportional to 46,653.92, 69,991.80 and 15,489.16 is: 23,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.92 : 69,991.80 = 15,489.16 : x
  2. Step 2: Convert to fraction form
    46,653.92/69,991.80 = 15,489.16/x
  3. Step 3: Cross multiply
    46,653.92x = 69,991.80 × 15,489.16
  4. Step 4: Simplify right side
    46,653.92x = 1,084,114,188.89
  5. Step 5: Solve for x
    x = 1,084,114,188.89/46,653.92
  6. Step 6: Final answer
    x = 23,237.37

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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.