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Finding the Fourth Proportional to 56,372.64, 77,796 and 31,224.48

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Solution

The fourth proportional to 56,372.64, 77,796 and 31,224.48 is: 43,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,372.64 : 77,796 = 31,224.48 : x
  2. Step 2: Convert to fraction form
    56,372.64/77,796 = 31,224.48/x
  3. Step 3: Cross multiply
    56,372.64x = 77,796 × 31,224.48
  4. Step 4: Simplify right side
    56,372.64x = 2,429,139,646.08
  5. Step 5: Solve for x
    x = 2,429,139,646.08/56,372.64
  6. Step 6: Final answer
    x = 43,090.76

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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.