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Finding the Fourth Proportional to 32,765.88, 49,142.34 and 9,394.68

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Solution

The fourth proportional to 32,765.88, 49,142.34 and 9,394.68 is: 14,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.88 : 49,142.34 = 9,394.68 : x
  2. Step 2: Convert to fraction form
    32,765.88/49,142.34 = 9,394.68/x
  3. Step 3: Cross multiply
    32,765.88x = 49,142.34 × 9,394.68
  4. Step 4: Simplify right side
    32,765.88x = 461,676,558.75
  5. Step 5: Solve for x
    x = 461,676,558.75/32,765.88
  6. Step 6: Final answer
    x = 14,090.16

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1.5x scale

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.