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Finding the Fourth Proportional to 61,676.84, 85,116.10 and 37,798.90

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Solution

The fourth proportional to 61,676.84, 85,116.10 and 37,798.90 is: 52,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,676.84 : 85,116.10 = 37,798.90 : x
  2. Step 2: Convert to fraction form
    61,676.84/85,116.10 = 37,798.90/x
  3. Step 3: Cross multiply
    61,676.84x = 85,116.10 × 37,798.90
  4. Step 4: Simplify right side
    61,676.84x = 3,217,294,952.29
  5. Step 5: Solve for x
    x = 3,217,294,952.29/61,676.84
  6. Step 6: Final answer
    x = 52,163.74

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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.