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Finding the Fourth Proportional to 38,527.94, 57,770.03 and 22,956.50

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Solution

The fourth proportional to 38,527.94, 57,770.03 and 22,956.50 is: 34,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.94 : 57,770.03 = 22,956.50 : x
  2. Step 2: Convert to fraction form
    38,527.94/57,770.03 = 22,956.50/x
  3. Step 3: Cross multiply
    38,527.94x = 57,770.03 × 22,956.50
  4. Step 4: Simplify right side
    38,527.94x = 1,326,197,290.06
  5. Step 5: Solve for x
    x = 1,326,197,290.06/38,527.94
  6. Step 6: Final answer
    x = 34,421.71

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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.