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Finding the Fourth Proportional to 103,201.84, 154,824.64 and 33,130.36

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Solution

The fourth proportional to 103,201.84, 154,824.64 and 33,130.36 is: 49,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,201.84 : 154,824.64 = 33,130.36 : x
  2. Step 2: Convert to fraction form
    103,201.84/154,824.64 = 33,130.36/x
  3. Step 3: Cross multiply
    103,201.84x = 154,824.64 × 33,130.36
  4. Step 4: Simplify right side
    103,201.84x = 5,129,396,060.07
  5. Step 5: Solve for x
    x = 5,129,396,060.07/103,201.84
  6. Step 6: Final answer
    x = 49,702.56

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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.