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Finding the Fourth Proportional to 61,645.84, 85,066.42 and 37,769.27

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Solution

The fourth proportional to 61,645.84, 85,066.42 and 37,769.27 is: 52,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,645.84 : 85,066.42 = 37,769.27 : x
  2. Step 2: Convert to fraction form
    61,645.84/85,066.42 = 37,769.27/x
  3. Step 3: Cross multiply
    61,645.84x = 85,066.42 × 37,769.27
  4. Step 4: Simplify right side
    61,645.84x = 3,212,896,490.49
  5. Step 5: Solve for x
    x = 3,212,896,490.49/61,645.84
  6. Step 6: Final answer
    x = 52,118.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.