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Finding the Fourth Proportional to 56,505, 77,979.33 and 31,354.50

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Solution

The fourth proportional to 56,505, 77,979.33 and 31,354.50 is: 43,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,505 : 77,979.33 = 31,354.50 : x
  2. Step 2: Convert to fraction form
    56,505/77,979.33 = 31,354.50/x
  3. Step 3: Cross multiply
    56,505x = 77,979.33 × 31,354.50
  4. Step 4: Simplify right side
    56,505x = 2,445,002,902.49
  5. Step 5: Solve for x
    x = 2,445,002,902.49/56,505
  6. Step 6: Final answer
    x = 43,270.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.