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Finding the Fourth Proportional to 56,074.84, 77,382.31 and 30,581.41

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Solution

The fourth proportional to 56,074.84, 77,382.31 and 30,581.41 is: 42,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,074.84 : 77,382.31 = 30,581.41 : x
  2. Step 2: Convert to fraction form
    56,074.84/77,382.31 = 30,581.41/x
  3. Step 3: Cross multiply
    56,074.84x = 77,382.31 × 30,581.41
  4. Step 4: Simplify right side
    56,074.84x = 2,366,460,148.86
  5. Step 5: Solve for x
    x = 2,366,460,148.86/56,074.84
  6. Step 6: Final answer
    x = 42,201.82

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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.