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Finding the Fourth Proportional to 103,204.60, 154,828.78 and 33,133.12

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Solution

The fourth proportional to 103,204.60, 154,828.78 and 33,133.12 is: 49,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,204.60 : 154,828.78 = 33,133.12 : x
  2. Step 2: Convert to fraction form
    103,204.60/154,828.78 = 33,133.12/x
  3. Step 3: Cross multiply
    103,204.60x = 154,828.78 × 33,133.12
  4. Step 4: Simplify right side
    103,204.60x = 5,129,960,077.29
  5. Step 5: Solve for x
    x = 5,129,960,077.29/103,204.60
  6. Step 6: Final answer
    x = 49,706.70

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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.