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Finding the Fourth Proportional to 103,546.40, 155,319.74 and 31,499.94

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Solution

The fourth proportional to 103,546.40, 155,319.74 and 31,499.94 is: 47,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,546.40 : 155,319.74 = 31,499.94 : x
  2. Step 2: Convert to fraction form
    103,546.40/155,319.74 = 31,499.94/x
  3. Step 3: Cross multiply
    103,546.40x = 155,319.74 × 31,499.94
  4. Step 4: Simplify right side
    103,546.40x = 4,892,562,490.82
  5. Step 5: Solve for x
    x = 4,892,562,490.82/103,546.40
  6. Step 6: Final answer
    x = 47,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.