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Finding the Fourth Proportional to 56,505.78, 77,976.45 and 31,012.11

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Solution

The fourth proportional to 56,505.78, 77,976.45 and 31,012.11 is: 42,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,505.78 : 77,976.45 = 31,012.11 : x
  2. Step 2: Convert to fraction form
    56,505.78/77,976.45 = 31,012.11/x
  3. Step 3: Cross multiply
    56,505.78x = 77,976.45 × 31,012.11
  4. Step 4: Simplify right side
    56,505.78x = 2,418,214,244.81
  5. Step 5: Solve for x
    x = 2,418,214,244.81/56,505.78
  6. Step 6: Final answer
    x = 42,795.87

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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.