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Finding the Fourth Proportional to 101,046.42, 151,567.81 and 41,882.00

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Solution

The fourth proportional to 101,046.42, 151,567.81 and 41,882.00 is: 62,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,046.42 : 151,567.81 = 41,882.00 : x
  2. Step 2: Convert to fraction form
    101,046.42/151,567.81 = 41,882.00/x
  3. Step 3: Cross multiply
    101,046.42x = 151,567.81 × 41,882.00
  4. Step 4: Simplify right side
    101,046.42x = 6,347,962,155.88
  5. Step 5: Solve for x
    x = 6,347,962,155.88/101,046.42
  6. Step 6: Final answer
    x = 62,822.24

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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.