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Finding the Fourth Proportional to 61,768.60, 92,580.60 and 54,762

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Solution

The fourth proportional to 61,768.60, 92,580.60 and 54,762 is: 82,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,768.60 : 92,580.60 = 54,762 : x
  2. Step 2: Convert to fraction form
    61,768.60/92,580.60 = 54,762/x
  3. Step 3: Cross multiply
    61,768.60x = 92,580.60 × 54,762
  4. Step 4: Simplify right side
    61,768.60x = 5,069,898,817.20
  5. Step 5: Solve for x
    x = 5,069,898,817.20/61,768.60
  6. Step 6: Final answer
    x = 82,078.90

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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.