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Finding the Fourth Proportional to 77,311.38, 106,690.84 and 45,045.30

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Solution

The fourth proportional to 77,311.38, 106,690.84 and 45,045.30 is: 62,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.38 : 106,690.84 = 45,045.30 : x
  2. Step 2: Convert to fraction form
    77,311.38/106,690.84 = 45,045.30/x
  3. Step 3: Cross multiply
    77,311.38x = 106,690.84 × 45,045.30
  4. Step 4: Simplify right side
    77,311.38x = 4,805,920,895.05
  5. Step 5: Solve for x
    x = 4,805,920,895.05/77,311.38
  6. Step 6: Final answer
    x = 62,163.18

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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.