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Finding the Fourth Proportional to 73,283.76, 109,923.81 and 20,692.48

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Solution

The fourth proportional to 73,283.76, 109,923.81 and 20,692.48 is: 31,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283.76 : 109,923.81 = 20,692.48 : x
  2. Step 2: Convert to fraction form
    73,283.76/109,923.81 = 20,692.48/x
  3. Step 3: Cross multiply
    73,283.76x = 109,923.81 × 20,692.48
  4. Step 4: Simplify right side
    73,283.76x = 2,274,596,239.95
  5. Step 5: Solve for x
    x = 2,274,596,239.95/73,283.76
  6. Step 6: Final answer
    x = 31,038.20

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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.