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Finding the Fourth Proportional to 38,507.94, 57,630.49 and 32,274.99

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Solution

The fourth proportional to 38,507.94, 57,630.49 and 32,274.99 is: 48,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.94 : 57,630.49 = 32,274.99 : x
  2. Step 2: Convert to fraction form
    38,507.94/57,630.49 = 32,274.99/x
  3. Step 3: Cross multiply
    38,507.94x = 57,630.49 × 32,274.99
  4. Step 4: Simplify right side
    38,507.94x = 1,860,023,327.07
  5. Step 5: Solve for x
    x = 1,860,023,327.07/38,507.94
  6. Step 6: Final answer
    x = 48,302.33

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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.