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Finding the Fourth Proportional to 56,249.87, 77,621.96 and 31,094.51

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Solution

The fourth proportional to 56,249.87, 77,621.96 and 31,094.51 is: 42,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,249.87 : 77,621.96 = 31,094.51 : x
  2. Step 2: Convert to fraction form
    56,249.87/77,621.96 = 31,094.51/x
  3. Step 3: Cross multiply
    56,249.87x = 77,621.96 × 31,094.51
  4. Step 4: Simplify right side
    56,249.87x = 2,413,616,501.07
  5. Step 5: Solve for x
    x = 2,413,616,501.07/56,249.87
  6. Step 6: Final answer
    x = 42,908.84

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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.