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Finding the Fourth Proportional to 61,664.74, 92,441.74 and 51,202

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Solution

The fourth proportional to 61,664.74, 92,441.74 and 51,202 is: 76,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664.74 : 92,441.74 = 51,202 : x
  2. Step 2: Convert to fraction form
    61,664.74/92,441.74 = 51,202/x
  3. Step 3: Cross multiply
    61,664.74x = 92,441.74 × 51,202
  4. Step 4: Simplify right side
    61,664.74x = 4,733,201,971.48
  5. Step 5: Solve for x
    x = 4,733,201,971.48/61,664.74
  6. Step 6: Final answer
    x = 76,757.02

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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.