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Finding the Fourth Proportional to 32,692.21, 49,017.21 and 13,984.45

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Solution

The fourth proportional to 32,692.21, 49,017.21 and 13,984.45 is: 20,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.21 : 49,017.21 = 13,984.45 : x
  2. Step 2: Convert to fraction form
    32,692.21/49,017.21 = 13,984.45/x
  3. Step 3: Cross multiply
    32,692.21x = 49,017.21 × 13,984.45
  4. Step 4: Simplify right side
    32,692.21x = 685,478,722.38
  5. Step 5: Solve for x
    x = 685,478,722.38/32,692.21
  6. Step 6: Final answer
    x = 20,967.65

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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.