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Finding the Fourth Proportional to 61,204.71, 91,806.90 and 34,538.58

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Solution

The fourth proportional to 61,204.71, 91,806.90 and 34,538.58 is: 51,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,204.71 : 91,806.90 = 34,538.58 : x
  2. Step 2: Convert to fraction form
    61,204.71/91,806.90 = 34,538.58/x
  3. Step 3: Cross multiply
    61,204.71x = 91,806.90 × 34,538.58
  4. Step 4: Simplify right side
    61,204.71x = 3,170,879,960.20
  5. Step 5: Solve for x
    x = 3,170,879,960.20/61,204.71
  6. Step 6: Final answer
    x = 51,807.78

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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.