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Finding the Fourth Proportional to 101,997.66, 152,996.50 and 31,877.58

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Solution

The fourth proportional to 101,997.66, 152,996.50 and 31,877.58 is: 47,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,997.66 : 152,996.50 = 31,877.58 : x
  2. Step 2: Convert to fraction form
    101,997.66/152,996.50 = 31,877.58/x
  3. Step 3: Cross multiply
    101,997.66x = 152,996.50 × 31,877.58
  4. Step 4: Simplify right side
    101,997.66x = 4,877,158,168.47
  5. Step 5: Solve for x
    x = 4,877,158,168.47/101,997.66
  6. Step 6: Final answer
    x = 47,816.37

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1.5x scale

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.