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Finding the Fourth Proportional to 32,654.94, 48,939.20 and 11,858.46

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Solution

The fourth proportional to 32,654.94, 48,939.20 and 11,858.46 is: 17,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.94 : 48,939.20 = 11,858.46 : x
  2. Step 2: Convert to fraction form
    32,654.94/48,939.20 = 11,858.46/x
  3. Step 3: Cross multiply
    32,654.94x = 48,939.20 × 11,858.46
  4. Step 4: Simplify right side
    32,654.94x = 580,343,330.58
  5. Step 5: Solve for x
    x = 580,343,330.58/32,654.94
  6. Step 6: Final answer
    x = 17,771.99

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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.