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Finding the Fourth Proportional to 63,538, 95,307 and 43,527.76

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Solution

The fourth proportional to 63,538, 95,307 and 43,527.76 is: 65,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,538 : 95,307 = 43,527.76 : x
  2. Step 2: Convert to fraction form
    63,538/95,307 = 43,527.76/x
  3. Step 3: Cross multiply
    63,538x = 95,307 × 43,527.76
  4. Step 4: Simplify right side
    63,538x = 4,148,500,222.32
  5. Step 5: Solve for x
    x = 4,148,500,222.32/63,538
  6. Step 6: Final answer
    x = 65,291.64

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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.