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Finding the Fourth Proportional to 56,462.94, 77,914.62 and 30,965.22

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Solution

The fourth proportional to 56,462.94, 77,914.62 and 30,965.22 is: 42,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462.94 : 77,914.62 = 30,965.22 : x
  2. Step 2: Convert to fraction form
    56,462.94/77,914.62 = 30,965.22/x
  3. Step 3: Cross multiply
    56,462.94x = 77,914.62 × 30,965.22
  4. Step 4: Simplify right side
    56,462.94x = 2,412,643,349.52
  5. Step 5: Solve for x
    x = 2,412,643,349.52/56,462.94
  6. Step 6: Final answer
    x = 42,729.68

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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.