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Finding the Fourth Proportional to 61,728.32, 85,184.92 and 33,433.92

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Solution

The fourth proportional to 61,728.32, 85,184.92 and 33,433.92 is: 46,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.32 : 85,184.92 = 33,433.92 : x
  2. Step 2: Convert to fraction form
    61,728.32/85,184.92 = 33,433.92/x
  3. Step 3: Cross multiply
    61,728.32x = 85,184.92 × 33,433.92
  4. Step 4: Simplify right side
    61,728.32x = 2,848,065,800.49
  5. Step 5: Solve for x
    x = 2,848,065,800.49/61,728.32
  6. Step 6: Final answer
    x = 46,138.72

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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.