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Finding the Fourth Proportional to 32,692.20, 49,095.90 and 25,314.60

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Solution

The fourth proportional to 32,692.20, 49,095.90 and 25,314.60 is: 38,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.20 : 49,095.90 = 25,314.60 : x
  2. Step 2: Convert to fraction form
    32,692.20/49,095.90 = 25,314.60/x
  3. Step 3: Cross multiply
    32,692.20x = 49,095.90 × 25,314.60
  4. Step 4: Simplify right side
    32,692.20x = 1,242,843,070.14
  5. Step 5: Solve for x
    x = 1,242,843,070.14/32,692.20
  6. Step 6: Final answer
    x = 38,016.50

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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.