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Finding the Fourth Proportional to 61,205.80, 91,808.70 and 42,446.20

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Solution

The fourth proportional to 61,205.80, 91,808.70 and 42,446.20 is: 63,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.80 : 91,808.70 = 42,446.20 : x
  2. Step 2: Convert to fraction form
    61,205.80/91,808.70 = 42,446.20/x
  3. Step 3: Cross multiply
    61,205.80x = 91,808.70 × 42,446.20
  4. Step 4: Simplify right side
    61,205.80x = 3,896,930,441.94
  5. Step 5: Solve for x
    x = 3,896,930,441.94/61,205.80
  6. Step 6: Final answer
    x = 63,669.30

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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.