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Finding the Fourth Proportional to 107,953.20, 161,891.40 and 48,817.20

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Solution

The fourth proportional to 107,953.20, 161,891.40 and 48,817.20 is: 73,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,953.20 : 161,891.40 = 48,817.20 : x
  2. Step 2: Convert to fraction form
    107,953.20/161,891.40 = 48,817.20/x
  3. Step 3: Cross multiply
    107,953.20x = 161,891.40 × 48,817.20
  4. Step 4: Simplify right side
    107,953.20x = 7,903,084,852.08
  5. Step 5: Solve for x
    x = 7,903,084,852.08/107,953.20
  6. Step 6: Final answer
    x = 73,208.44

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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.