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Finding the Fourth Proportional to 77,189.50, 115,784.25 and 18,821.50

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Solution

The fourth proportional to 77,189.50, 115,784.25 and 18,821.50 is: 28,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.50 : 115,784.25 = 18,821.50 : x
  2. Step 2: Convert to fraction form
    77,189.50/115,784.25 = 18,821.50/x
  3. Step 3: Cross multiply
    77,189.50x = 115,784.25 × 18,821.50
  4. Step 4: Simplify right side
    77,189.50x = 2,179,233,261.38
  5. Step 5: Solve for x
    x = 2,179,233,261.38/77,189.50
  6. Step 6: Final answer
    x = 28,232.25

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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.