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Finding the Fourth Proportional to 101,546.37, 152,407.05 and 49,000.05

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Solution

The fourth proportional to 101,546.37, 152,407.05 and 49,000.05 is: 73,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,546.37 : 152,407.05 = 49,000.05 : x
  2. Step 2: Convert to fraction form
    101,546.37/152,407.05 = 49,000.05/x
  3. Step 3: Cross multiply
    101,546.37x = 152,407.05 × 49,000.05
  4. Step 4: Simplify right side
    101,546.37x = 7,467,953,070.35
  5. Step 5: Solve for x
    x = 7,467,953,070.35/101,546.37
  6. Step 6: Final answer
    x = 73,542.29

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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.