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Finding the Fourth Proportional to 49,692.47, 68,598 and 32,705.63

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Solution

The fourth proportional to 49,692.47, 68,598 and 32,705.63 is: 45,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692.47 : 68,598 = 32,705.63 : x
  2. Step 2: Convert to fraction form
    49,692.47/68,598 = 32,705.63/x
  3. Step 3: Cross multiply
    49,692.47x = 68,598 × 32,705.63
  4. Step 4: Simplify right side
    49,692.47x = 2,243,540,463.75
  5. Step 5: Solve for x
    x = 2,243,540,463.75/49,692.47
  6. Step 6: Final answer
    x = 45,148.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.