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Finding the Fourth Proportional to 56,994, 78,651.75 and 31,843.50

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Solution

The fourth proportional to 56,994, 78,651.75 and 31,843.50 is: 43,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,994 : 78,651.75 = 31,843.50 : x
  2. Step 2: Convert to fraction form
    56,994/78,651.75 = 31,843.50/x
  3. Step 3: Cross multiply
    56,994x = 78,651.75 × 31,843.50
  4. Step 4: Simplify right side
    56,994x = 2,504,547,001.13
  5. Step 5: Solve for x
    x = 2,504,547,001.13/56,994
  6. Step 6: Final answer
    x = 43,944.05

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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.