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Finding the Fourth Proportional to 74,846.98, 103,288.32 and 40,855.32

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Solution

The fourth proportional to 74,846.98, 103,288.32 and 40,855.32 is: 56,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,846.98 : 103,288.32 = 40,855.32 : x
  2. Step 2: Convert to fraction form
    74,846.98/103,288.32 = 40,855.32/x
  3. Step 3: Cross multiply
    74,846.98x = 103,288.32 × 40,855.32
  4. Step 4: Simplify right side
    74,846.98x = 4,219,877,365.86
  5. Step 5: Solve for x
    x = 4,219,877,365.86/74,846.98
  6. Step 6: Final answer
    x = 56,380.06

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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.