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Finding the Fourth Proportional to 56,365.38, 77,784.24 and 31,214.88

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Solution

The fourth proportional to 56,365.38, 77,784.24 and 31,214.88 is: 43,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,365.38 : 77,784.24 = 31,214.88 : x
  2. Step 2: Convert to fraction form
    56,365.38/77,784.24 = 31,214.88/x
  3. Step 3: Cross multiply
    56,365.38x = 77,784.24 × 31,214.88
  4. Step 4: Simplify right side
    56,365.38x = 2,428,025,717.49
  5. Step 5: Solve for x
    x = 2,428,025,717.49/56,365.38
  6. Step 6: Final answer
    x = 43,076.54

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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.