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Finding the Fourth Proportional to 56,125.68, 77,453.28 and 30,975

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Solution

The fourth proportional to 56,125.68, 77,453.28 and 30,975 is: 42,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,125.68 : 77,453.28 = 30,975 : x
  2. Step 2: Convert to fraction form
    56,125.68/77,453.28 = 30,975/x
  3. Step 3: Cross multiply
    56,125.68x = 77,453.28 × 30,975
  4. Step 4: Simplify right side
    56,125.68x = 2,399,115,348
  5. Step 5: Solve for x
    x = 2,399,115,348/56,125.68
  6. Step 6: Final answer
    x = 42,745.41

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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.