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Finding the Fourth Proportional to 100,852.72, 151,301.88 and 33,384.64

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Solution

The fourth proportional to 100,852.72, 151,301.88 and 33,384.64 is: 50,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,852.72 : 151,301.88 = 33,384.64 : x
  2. Step 2: Convert to fraction form
    100,852.72/151,301.88 = 33,384.64/x
  3. Step 3: Cross multiply
    100,852.72x = 151,301.88 × 33,384.64
  4. Step 4: Simplify right side
    100,852.72x = 5,051,158,795.12
  5. Step 5: Solve for x
    x = 5,051,158,795.12/100,852.72
  6. Step 6: Final answer
    x = 50,084.51

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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.