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Finding the Fourth Proportional to 101,355.40, 151,982.10 and 31,225.60

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Solution

The fourth proportional to 101,355.40, 151,982.10 and 31,225.60 is: 46,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,355.40 : 151,982.10 = 31,225.60 : x
  2. Step 2: Convert to fraction form
    101,355.40/151,982.10 = 31,225.60/x
  3. Step 3: Cross multiply
    101,355.40x = 151,982.10 × 31,225.60
  4. Step 4: Simplify right side
    101,355.40x = 4,745,732,261.76
  5. Step 5: Solve for x
    x = 4,745,732,261.76/101,355.40
  6. Step 6: Final answer
    x = 46,822.69

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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.