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Finding the Fourth Proportional to 33,038.35, 45,630.76 and 21,758.27

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Solution

The fourth proportional to 33,038.35, 45,630.76 and 21,758.27 is: 30,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.35 : 45,630.76 = 21,758.27 : x
  2. Step 2: Convert to fraction form
    33,038.35/45,630.76 = 21,758.27/x
  3. Step 3: Cross multiply
    33,038.35x = 45,630.76 × 21,758.27
  4. Step 4: Simplify right side
    33,038.35x = 992,846,113.84
  5. Step 5: Solve for x
    x = 992,846,113.84/33,038.35
  6. Step 6: Final answer
    x = 30,051.32

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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.