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Finding the Fourth Proportional to 99,706.78, 149,527.82 and 33,129.03

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Solution

The fourth proportional to 99,706.78, 149,527.82 and 33,129.03 is: 49,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706.78 : 149,527.82 = 33,129.03 : x
  2. Step 2: Convert to fraction form
    99,706.78/149,527.82 = 33,129.03/x
  3. Step 3: Cross multiply
    99,706.78x = 149,527.82 × 33,129.03
  4. Step 4: Simplify right side
    99,706.78x = 4,953,712,278.17
  5. Step 5: Solve for x
    x = 4,953,712,278.17/99,706.78
  6. Step 6: Final answer
    x = 49,682.80

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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.