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Finding the Fourth Proportional to 85,329.96, 117,747.18 and 47,606.64

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Solution

The fourth proportional to 85,329.96, 117,747.18 and 47,606.64 is: 65,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.96 : 117,747.18 = 47,606.64 : x
  2. Step 2: Convert to fraction form
    85,329.96/117,747.18 = 47,606.64/x
  3. Step 3: Cross multiply
    85,329.96x = 117,747.18 × 47,606.64
  4. Step 4: Simplify right side
    85,329.96x = 5,605,547,609.28
  5. Step 5: Solve for x
    x = 5,605,547,609.28/85,329.96
  6. Step 6: Final answer
    x = 65,692.61

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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.