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Finding the Fourth Proportional to 49,973, 68,882.56 and 33,835.16

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Solution

The fourth proportional to 49,973, 68,882.56 and 33,835.16 is: 46,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,973 : 68,882.56 = 33,835.16 : x
  2. Step 2: Convert to fraction form
    49,973/68,882.56 = 33,835.16/x
  3. Step 3: Cross multiply
    49,973x = 68,882.56 × 33,835.16
  4. Step 4: Simplify right side
    49,973x = 2,330,652,438.81
  5. Step 5: Solve for x
    x = 2,330,652,438.81/49,973
  6. Step 6: Final answer
    x = 46,638.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.