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Finding the Fourth Proportional to 61,564, 92,232.60 and 54,922.54

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Solution

The fourth proportional to 61,564, 92,232.60 and 54,922.54 is: 82,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,564 : 92,232.60 = 54,922.54 : x
  2. Step 2: Convert to fraction form
    61,564/92,232.60 = 54,922.54/x
  3. Step 3: Cross multiply
    61,564x = 92,232.60 × 54,922.54
  4. Step 4: Simplify right side
    61,564x = 5,065,648,662.80
  5. Step 5: Solve for x
    x = 5,065,648,662.80/61,564
  6. Step 6: Final answer
    x = 82,282.64

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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.