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Finding the Fourth Proportional to 56,382.75, 77,808.20 and 34,026.75

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Solution

The fourth proportional to 56,382.75, 77,808.20 and 34,026.75 is: 46,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382.75 : 77,808.20 = 34,026.75 : x
  2. Step 2: Convert to fraction form
    56,382.75/77,808.20 = 34,026.75/x
  3. Step 3: Cross multiply
    56,382.75x = 77,808.20 × 34,026.75
  4. Step 4: Simplify right side
    56,382.75x = 2,647,559,999.22
  5. Step 5: Solve for x
    x = 2,647,559,999.22/56,382.75
  6. Step 6: Final answer
    x = 46,956.92

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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.