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Finding the Fourth Proportional to 33,254.28, 49,872.92 and 9,875.25

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Solution

The fourth proportional to 33,254.28, 49,872.92 and 9,875.25 is: 14,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.28 : 49,872.92 = 9,875.25 : x
  2. Step 2: Convert to fraction form
    33,254.28/49,872.92 = 9,875.25/x
  3. Step 3: Cross multiply
    33,254.28x = 49,872.92 × 9,875.25
  4. Step 4: Simplify right side
    33,254.28x = 492,507,503.85
  5. Step 5: Solve for x
    x = 492,507,503.85/33,254.28
  6. Step 6: Final answer
    x = 14,810.35

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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.