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Finding the Fourth Proportional to 47,239.40, 65,195 and 35,282

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Solution

The fourth proportional to 47,239.40, 65,195 and 35,282 is: 48,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239.40 : 65,195 = 35,282 : x
  2. Step 2: Convert to fraction form
    47,239.40/65,195 = 35,282/x
  3. Step 3: Cross multiply
    47,239.40x = 65,195 × 35,282
  4. Step 4: Simplify right side
    47,239.40x = 2,300,209,990
  5. Step 5: Solve for x
    x = 2,300,209,990/47,239.40
  6. Step 6: Final answer
    x = 48,692.62

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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.