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Finding the Fourth Proportional to 65,692.27, 90,655.44 and 37,397.96

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Solution

The fourth proportional to 65,692.27, 90,655.44 and 37,397.96 is: 51,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.27 : 90,655.44 = 37,397.96 : x
  2. Step 2: Convert to fraction form
    65,692.27/90,655.44 = 37,397.96/x
  3. Step 3: Cross multiply
    65,692.27x = 90,655.44 × 37,397.96
  4. Step 4: Simplify right side
    65,692.27x = 3,390,328,265.34
  5. Step 5: Solve for x
    x = 3,390,328,265.34/65,692.27
  6. Step 6: Final answer
    x = 51,609.24

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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.