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Finding the Fourth Proportional to 101,772.95, 152,659.82 and 42,567.09

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Solution

The fourth proportional to 101,772.95, 152,659.82 and 42,567.09 is: 63,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772.95 : 152,659.82 = 42,567.09 : x
  2. Step 2: Convert to fraction form
    101,772.95/152,659.82 = 42,567.09/x
  3. Step 3: Cross multiply
    101,772.95x = 152,659.82 × 42,567.09
  4. Step 4: Simplify right side
    101,772.95x = 6,498,284,244.11
  5. Step 5: Solve for x
    x = 6,498,284,244.11/101,772.95
  6. Step 6: Final answer
    x = 63,850.80

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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.