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Finding the Fourth Proportional to 56,998.49, 78,657.72 and 31,847.99

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Solution

The fourth proportional to 56,998.49, 78,657.72 and 31,847.99 is: 43,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.49 : 78,657.72 = 31,847.99 : x
  2. Step 2: Convert to fraction form
    56,998.49/78,657.72 = 31,847.99/x
  3. Step 3: Cross multiply
    56,998.49x = 78,657.72 × 31,847.99
  4. Step 4: Simplify right side
    56,998.49x = 2,505,090,279.98
  5. Step 5: Solve for x
    x = 2,505,090,279.98/56,998.49
  6. Step 6: Final answer
    x = 43,950.12

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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.