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Finding the Fourth Proportional to 102,564.56, 153,846.84 and 28,692.56

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Solution

The fourth proportional to 102,564.56, 153,846.84 and 28,692.56 is: 43,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.56 : 153,846.84 = 28,692.56 : x
  2. Step 2: Convert to fraction form
    102,564.56/153,846.84 = 28,692.56/x
  3. Step 3: Cross multiply
    102,564.56x = 153,846.84 × 28,692.56
  4. Step 4: Simplify right side
    102,564.56x = 4,414,259,687.51
  5. Step 5: Solve for x
    x = 4,414,259,687.51/102,564.56
  6. Step 6: Final answer
    x = 43,038.84

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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.