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Finding the Fourth Proportional to 35,213.40, 48,596.40 and 20,102.88

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Solution

The fourth proportional to 35,213.40, 48,596.40 and 20,102.88 is: 27,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,213.40 : 48,596.40 = 20,102.88 : x
  2. Step 2: Convert to fraction form
    35,213.40/48,596.40 = 20,102.88/x
  3. Step 3: Cross multiply
    35,213.40x = 48,596.40 × 20,102.88
  4. Step 4: Simplify right side
    35,213.40x = 976,927,597.63
  5. Step 5: Solve for x
    x = 976,927,597.63/35,213.40
  6. Step 6: Final answer
    x = 27,743.06

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1.5x scale

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.