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Finding the Fourth Proportional to 101,644.59, 152,270.07 and 49,090.98

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Solution

The fourth proportional to 101,644.59, 152,270.07 and 49,090.98 is: 73,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,644.59 : 152,270.07 = 49,090.98 : x
  2. Step 2: Convert to fraction form
    101,644.59/152,270.07 = 49,090.98/x
  3. Step 3: Cross multiply
    101,644.59x = 152,270.07 × 49,090.98
  4. Step 4: Simplify right side
    101,644.59x = 7,475,086,960.97
  5. Step 5: Solve for x
    x = 7,475,086,960.97/101,644.59
  6. Step 6: Final answer
    x = 73,541.41

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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.