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Finding the Fourth Proportional to 85,682.64, 118,176.72 and 56,950.80

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Solution

The fourth proportional to 85,682.64, 118,176.72 and 56,950.80 is: 78,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,682.64 : 118,176.72 = 56,950.80 : x
  2. Step 2: Convert to fraction form
    85,682.64/118,176.72 = 56,950.80/x
  3. Step 3: Cross multiply
    85,682.64x = 118,176.72 × 56,950.80
  4. Step 4: Simplify right side
    85,682.64x = 6,730,258,745.38
  5. Step 5: Solve for x
    x = 6,730,258,745.38/85,682.64
  6. Step 6: Final answer
    x = 78,548.69

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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.