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Finding the Fourth Proportional to 56,218.05, 77,589.06 and 33,558

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Solution

The fourth proportional to 56,218.05, 77,589.06 and 33,558 is: 46,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,218.05 : 77,589.06 = 33,558 : x
  2. Step 2: Convert to fraction form
    56,218.05/77,589.06 = 33,558/x
  3. Step 3: Cross multiply
    56,218.05x = 77,589.06 × 33,558
  4. Step 4: Simplify right side
    56,218.05x = 2,603,733,675.48
  5. Step 5: Solve for x
    x = 2,603,733,675.48/56,218.05
  6. Step 6: Final answer
    x = 46,314.91

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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.