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Finding the Fourth Proportional to 92,102.84, 138,105.42 and 56,580.41

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Solution

The fourth proportional to 92,102.84, 138,105.42 and 56,580.41 is: 84,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102.84 : 138,105.42 = 56,580.41 : x
  2. Step 2: Convert to fraction form
    92,102.84/138,105.42 = 56,580.41/x
  3. Step 3: Cross multiply
    92,102.84x = 138,105.42 × 56,580.41
  4. Step 4: Simplify right side
    92,102.84x = 7,814,060,596.30
  5. Step 5: Solve for x
    x = 7,814,060,596.30/92,102.84
  6. Step 6: Final answer
    x = 84,840.61

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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.